Drill Bit Size Converter

Drill Bit Size Converter

Fractional inch, number (1–80), letter (A–Z) and metric drill sizes, all converted through diameter and all four directions at once — plus the nearest bit you actually own in each system, the tap drill for a metric or Unified thread at any thread percentage, and the clearance hole for the same screw.

Drill sizes and tap drills

Four drill scales, tap and clearance
Four drill systems overlap in the same size range, and the answer to “what is the nearest bit I own” is different in each.
Measure across the margins with a micrometer, not the flutes, and away from the point.
Metric coarse and fine, UNC and UNF. The tap drill follows from the pitch and the thread percentage you ask for, not from a copied table.
75% is the workshop default and what every published tap drill chart uses. Lower gives an easier, less fragile tap; higher gives marginally more strength and much more torque.
Not a circuit: five turns of a tapped hole in section, drawn as the real ISO basic thread profile — 60 degree flanks, a root flat of a quarter of the pitch and a crest flat of an eighth, which add up to exactly one pitch. The upper line is the major diameter and the lower one the minor diameter of a full-form internal thread. The line that moves between them is the tap drill, placed by the engagement percentage you ask for, and it only appears in the thread mode. The picture is why two percentages exist for one hole: the tap-drill convention measures the gap against 0.6495 of the pitch per flank and ISO 261 measures it against 0.54127, so the same line reads 77% on one scale and 92% on the other. The pitch is drawn at a fixed size; only the hole line is live.
6.350mmExample

a 1/4 inch drill

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One diameter, four names, and two hole rules

fractional: d = n/64 in  ·  number and letter: tabulated (ANSI/ASME B94.11M)  ·  tap drill = D − 1.299 × P × %/100  ·  ISO minor diameter = D − 1.0825 × P  ·  clearance = 1.06 D (fine), 1.12 D (medium), 1.20 D (coarse)
D
the thread’s major diameter — 6 mm for an M6, 0.250 in for a 1/4 in Unified thread
P
the pitch: millimetres per turn for a metric thread, 25.4 divided by the threads per inch for an inch one
1.299
twice the 0.6495-pitch thread depth the percentage-of-thread convention counts. In inch form the same constant is written 0.0130 per thread per inch
1.0825
the ISO 261 figure for the difference between major and minor diameter of the internal thread — a different depth, and so a different percentage for the same hole
1.06 / 1.12 / 1.20
the ISO 273 fine, medium and coarse clearance ratios, averaged over its sixteen tabulated sizes, which individually spread from 1.03 to 1.10, 1.08 to 1.20 and 1.16 to 1.30; metric threads use the tabulated value itself

Worked example

a 1/4 inch drill
A fractional drill is its fraction: 16/64 in = 0.2500 in = 6.350 mm, exactly, because the inch is exactly 25.4 mm
The nearest number drill is #1 at 0.2280 in, 0.559 mm under — the number series stops just below a quarter inch
The nearest letter drill is E, and E is 0.2500 in: the same size, to four decimal places
The nearest stocked metric drill is 6.35 mm if your set has one and 6.4 mm if it does not, 0.05 mm over
So a quarter inch, an E and a 6.35 mm are one drill with three names, and #1 is a different drill that looks close

The four systems, and what each is for

SystemRangeTypical stepNotes
Fractional inch1/64 in to 1 1/2 in and beyond, in 64ths0.397 mmThe everyday shop scale in the US; the step is coarse at the small end and fine at the large end
Number, 1 to 800.0135 in to 0.2280 in0.0005 to 0.005 inANSI/ASME B94.11M. Numbering runs BACKWARDS: #80 is the smallest. Fills in below 1/4 in, where fractions are too coarse
Letter, A to Z0.234 in to 0.413 in0.002 to 0.014 inANSI/ASME B94.11M again. Picks up exactly where the number series stops, just above 15/64 in, and E is exactly 1/4 in
Metric0.5 mm up, in 0.05, 0.1 or 0.5 mm steps depending on size0.05 to 0.5 mmA stocking convention rather than a standard — which sizes a set contains varies by supplier
The number and letter series exist to fill the gaps the fractional series leaves, which is why they cover different ranges and meet almost exactly at 15/64 in. Only the first three are standardised; which metric sizes a set contains is a supplier’s decision.

Common metric sizes and the nearest bit in each inch system

Metric (mm)InchesNearest fractionError (mm)Nearest numberError (mm)Nearest letterError (mm)
1.000.03943/64 in0.191#61-0.009A4.944
1.500.05911/16 in0.087#530.011A4.444
2.000.07875/64 in-0.016#47-0.006A3.944
2.500.09843/32 in-0.119#40-0.011A3.444
3.000.11811/8 in0.175#310.048A2.944
3.500.13789/64 in0.072#29-0.046A2.444
4.000.15755/32 in-0.031#22-0.012A1.944
4.500.177211/64 in-0.134#16-0.004A1.444
5.000.196913/64 in0.159#9-0.022A0.944
6.000.236215/64 in-0.047#1-0.209B0.045
6.350.25001/4 in0.000#1-0.559E0.000
8.000.31505/16 in-0.063#1-2.209O0.026
10.000.393725/64 in-0.078#1-4.209X0.084
12.000.472415/32 in-0.094#1-6.209Z-1.510
Computed by this page from the published diameters. A negative error means the inch bit is undersized. Note how often a number or letter drill is closer than the nearest fraction — and that a 6.35 mm and a quarter inch are the same thing to the fourth decimal place, because 0.25 × 25.4 is 6.35 exactly.

Tap drills for Unified threads, at 75% of thread

ThreadMajor (mm)Pitch (mm)Rule gives (mm)Nearest drillIts size (mm)Engagement it givesPublished drill
#4-40 UNC2.8450.63502.226#432.26170.8not checked
#6-32 UNC3.5050.79372.732#362.70577.6#36
#8-32 UNC4.1660.79373.392#293.45469.0#29
#10-24 UNC4.8261.05833.795#253.79774.8#25
#12-24 UNC5.4861.05834.455#164.49672.1not checked
1/4-20 UNC6.3501.27005.113#75.10575.4#7
5/16-18 UNC7.9381.41116.563F6.52876.9F
3/8-16 UNC9.5251.58757.9785/16 in7.93877.05/16 in
7/16-14 UNC11.1121.81439.345U9.34774.9not checked
1/2-13 UNC12.7001.953810.79627/64 in10.71678.227/64 in
9/16-12 UNC14.2872.116712.22531/64 in12.30372.2not checked
5/8-11 UNC15.8752.309113.62517/32 in13.49479.4not checked
3/4-10 UNC19.0502.540016.57521/32 in16.66972.2not checked
7/8-9 UNC22.2252.822219.47549/64 in19.44775.8not checked
1-8 UNC25.4003.175022.3077/8 in22.22577.07/8 in
#4-48 UNF2.8450.52922.329#422.37568.4not checked
#6-40 UNF3.5050.63502.887#332.87077.0not checked
#8-36 UNF4.1660.70563.478#293.45477.6not checked
#10-32 UNF4.8260.79374.053#214.03976.4#21
#12-28 UNF5.4860.90714.603#144.62373.3not checked
1/4-28 UNF6.3500.90715.466#35.41079.8#3
5/16-24 UNF7.9381.05836.906I6.90974.8not checked
3/8-24 UNF9.5251.05838.494Q8.43379.4not checked
7/16-20 UNF11.1121.27009.87525/64 in9.92272.2not checked
1/2-20 UNF12.7001.270011.46329/64 in11.50972.229/64 in
9/16-18 UNF14.2871.411112.91333/64 in13.09765.0not checked
5/8-18 UNF15.8751.411114.50037/64 in14.68465.0not checked
3/4-16 UNF19.0501.587517.50311/16 in17.46277.0not checked
7/8-14 UNF22.2251.814320.45713/16 in20.63767.4not checked
1-12 UNF25.4002.116723.33859/64 in23.41672.2not checked
The rule is hole = major − 0.0130 × % ÷ threads per inch, which is the same 1.299 × pitch constant. Taking the nearest drill in the fractional, number and letter series reproduces the published tap drill at every one of the eleven threads that could be cross-checked — which is why this page computes the answer instead of copying a copyrighted table.

Tap drills for metric threads

ThreadSeriesMajor (mm)Pitch (mm)Major − pitch (mm)Nearest stocked (mm)Engagement, chart conventionSame hole, ISO basic formPublished drill
M1.6 × 0.35coarse1.600.351.2501.2577.092.4not checked
M2 × 0.4coarse2.000.401.6001.6077.092.41.60
M2.5 × 0.45coarse2.500.452.0502.0577.092.42.05
M3 × 0.5coarse3.000.502.5002.5077.092.42.50
M3.5 × 0.6coarse3.500.602.9002.9077.092.42.90
M4 × 0.7coarse4.000.703.3003.3077.092.43.30
M5 × 0.8coarse5.000.804.2004.2077.092.44.20
M6 × 1coarse6.001.005.0005.0077.092.45.00
M8 × 1.25coarse8.001.256.7506.8077.092.46.80
M10 × 1.5coarse10.001.508.5008.5077.092.48.50
M12 × 1.75coarse12.001.7510.25010.3077.092.410.20
M14 × 2coarse14.002.0012.00012.0077.092.412.00
M16 × 2coarse16.002.0014.00014.0077.092.414.00
M20 × 2.5coarse20.002.5017.50017.5077.092.417.50
M24 × 3coarse24.003.0021.00021.0077.092.421.00
M30 × 3.5coarse30.003.5026.50025.0077.092.4not checked
M36 × 4coarse36.004.0032.00025.0077.092.4not checked
M3 × 0.35fine3.000.352.6502.6577.092.4not checked
M4 × 0.5fine4.000.503.5003.5077.092.4not checked
M5 × 0.5fine5.000.504.5004.5077.092.4not checked
M6 × 0.75fine6.000.755.2505.3077.092.45.25
M8 × 1fine8.001.007.0007.0077.092.47.00
M10 × 1.25fine10.001.258.7508.8077.092.48.80
M10 × 1fine10.001.009.0009.0077.092.4not checked
M12 × 1.5fine12.001.5010.50010.5077.092.4not checked
M12 × 1.25fine12.001.2510.75010.8077.092.410.80
M14 × 1.5fine14.001.5012.50012.5077.092.4not checked
M16 × 1.5fine16.001.5014.50014.5077.092.414.50
M20 × 1.5fine20.001.5018.50018.5077.092.4not checked
M24 × 2fine24.002.0022.00022.0077.092.4not checked
M30 × 2fine30.002.0028.00025.0077.092.4not checked
“Major diameter minus the pitch” is not a rule of thumb but the 77% line of the same formula: 1.299 × 0.77 = 1.00. It matches the published drill at fifteen of the nineteen threads that could be checked; at the other four the computed size falls exactly midway between two stocked drills and the published tables split. The last two percentage columns are the same hole counted two ways, which is why a bare “75% thread” is ambiguous.

Clearance holes, ISO 273

ThreadFine (mm)Medium (mm)Coarse (mm)Fine ÷ DMedium ÷ DCoarse ÷ D
M1.61.71.82.01.0631.1251.250
M22.22.42.61.1001.2001.300
M2.52.72.93.11.0801.1601.240
M33.23.43.61.0671.1331.200
M44.34.54.81.0751.1251.200
M55.35.55.81.0601.1001.160
M66.46.67.01.0671.1001.167
M88.49.010.01.0501.1251.250
M1010.511.012.01.0501.1001.200
M1213.013.514.51.0831.1251.208
M1415.015.516.51.0711.1071.179
M1617.017.518.51.0631.0941.156
M2021.022.024.01.0501.1001.200
M2425.026.028.01.0421.0831.167
M3031.033.035.01.0331.1001.167
M3637.039.042.01.0281.0831.167
Read from Mech Codex and checked row by row against Xiaoman Tools; the two agree everywhere. The ratio columns are computed here and are what this page applies to inch threads, because no inch clearance table could be cross-checked to a second publisher. M3.5 is not in either extract and its clearance is derived from these ratios rather than read — that is why it is not in this table.

Four drill scales, and the one question that matters

A drill size is a diameter wearing a label, and there are four labelling systems in use in the same range of diameters. Fractional drills are their fraction: a 1/4 in drill is 0.2500 in, which is 6.35 mm exactly. Number drills run from #1 at 0.2280 in down to #80 at 0.0135 in, and the numbering runs backwards, so #80 is the smallest bit in the set. Letter drills pick up where the numbers stop and run A at 0.234 in to Z at 0.413 in, with E landing exactly on a quarter of an inch. Metric drills are their diameter. The number and letter series are defined by ANSI/ASME B94.11M, which is copyrighted, so the diameters on this page come from two independent published charts that agree at all 106 sizes, with a third confirming the forty-five values it prints.

The question people actually have is not a conversion. It is: I need 3.4 mm and I own an inch set — what is closest, and how far out is it? So the page answers that in all four systems at once, with the signed error on each, because whether the nearest bit is over or under matters completely differently for a tapped hole (under is fine, over is scrap) and for a clearance hole (over is fine, under does not go together).

Now the part that earns the page: tap drills. A tap drill is not looked up, it is computed. The convention every chart uses is hole = major diameter − 1.299 × pitch × percentage of thread, written in inch shops as major diameter minus 0.0130 times the percentage divided by the threads per inch. Those are the same constant. At 75% and 1/4-20 UNC it gives 0.2013 in, and the published tap drill is a #7 at 0.2010 in. Run that over every UNC and UNF thread that could be cross-checked and the rule picks the published drill eleven times out of eleven. On the metric coarse series the same formula at 77% simplifies to the shortcut everyone already knows — 1.299 × 0.77 = 1.00, so the hole is the major diameter less the pitch, and M6 × 1 takes a 5.0 mm drill.

Two percentages, and they never agree. The percentage-of-thread convention counts a full thread depth of 0.6495 of the pitch per flank, the truncated vee of the American National and Unified forms. ISO 261 defines the internal thread’s own basic height as 0.54127 of the pitch per flank, so the minor diameter is the major less 1.0825 pitches. Measured that way, the “77%” hole from the shortcut is cutting 92% of the basic form. Neither number is wrong; they count different depths, and this page gives both and names the convention for each, because a tap drill argument is nearly always two people using different definitions of the same word.

And the clearance hole, since it is asked in the same breath. ISO 273 gives three series — fine, medium and coarse — and for the sixteen metric sizes two publishers agree on, this page uses the tabulated value. Those values imply ratios of about 1.06, 1.11 and 1.19 times the screw diameter, and those ratios are what is applied to inch threads, with the nearest stocked drill at or above the result, because no inch clearance table could be verified against a second source. A medium fit on an M6 is 6.6 mm; a free fit is 7.0 mm and lets the screw wander a third of a millimetre each way, which is either exactly what you wanted or a visible defect. For the other trade gauge that overlaps this range, see the wire gauge converter, and for the screw sizes that go into these holes the wood screw size converter. This page does the arithmetic. Where the answer carries a consequence — a dose, a structural load, a legal area, a medical measure — confirm it against the authority that governs it before relying on it.

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Frequently asked questions

What size drill do I need to tap M6?

5.0 mm, for the usual 75 to 77% of thread. That is the major diameter less the pitch, which is what the standard formula reduces to at 77%: 6 − 1.299 × 1 × 0.77 = 5.00. The clearance hole for the same M6 screw is 6.4 mm close, 6.6 mm normal or 7.0 mm free, from ISO 273.

What is a #7 drill in millimetres?

5.105 mm, from 0.2010 in. It is the published tap drill for 1/4-20 UNC, which is why it is the most-owned number drill in any inch set.

Why do drill numbers run backwards?

Because the series came from wire gauges, where the number counted how many times the wire had been drawn down: more draws, thinner wire, bigger number. The same history is why a higher wire gauge and a higher hypodermic needle gauge are both thinner.

Is a letter drill bigger or smaller than a number drill?

Bigger. The number series runs from 0.0135 in up to 0.2280 in and the letter series from 0.234 in up to 0.413 in, so they cover different ranges and meet just above 15/64 in. E is exactly a quarter inch.

What does 75% of thread mean?

It is the fraction of the full thread depth the tapped hole leaves, on a convention that counts the depth as 0.6495 of the pitch per flank. Measured instead against the ISO basic internal thread height of 0.54127 pitches, the same hole reads about 92%. Always say which convention you mean; the two are seventeen points apart and both are called “percentage of thread”.

Should I use a tap drill bigger or smaller than the rule gives?

Bigger, if you have to choose. A smaller hole means more thread and much more tapping torque, which is how taps break in blind holes and in stainless. Going from 75% to 65% costs almost nothing in strength because the screw fails before the thread does in most joints.

What is the clearance hole for a 1/4 inch screw?

6.75 mm (an H drill, 0.2656 in) for a close fit, 7.14 mm (a K, 0.2810 in) for a normal one and 7.67 mm (an N, 0.3020 in) for a free fit — from the mean ISO 273 ratios of 1.06, 1.12 and 1.20 times the diameter, taken up to the nearest stocked drill. This page applies those ratios to inch threads rather than copying an inch clearance table, because no such table could be checked against a second publisher.

Related calculators

References

  1. ANSI/ASME B94.11M, Twist Drills, the standard that defines the number (1 to 80) and letter (A to Z) drill series. It is copyrighted and its tables are not reproduced here; the diameters used were read from the two independent published charts named below, which agree at every one of the 106 sizes.
  2. Wikipedia, List of drill and tap sizes and Drill bit sizes (read 26 September 2026): the number and letter drill diameters in decimal inches, and the working rules for tap drills — major diameter less the pitch for a metric coarse thread, about 85 per cent of the major diameter for an inch coarse thread.
  3. Carbide Depot, Drill Size Chart, carbidedepot.com/formulas-drillsize.htm (read 26 September 2026) — the second, independent publisher of the number and letter series. It agrees with the table above at all 80 number drills and all 26 letter drills, to the fourth decimal place of an inch.
  4. University of Wisconsin–Madison Physics Instrument Shop, Drill Chart (read 26 September 2026) — a third source, printing 31 of the number drills and 14 of the letters. It agrees with both of the above at every value it gives, and it is what settled #32 at 0.1160 in when one reading of the first source came back with #30’s figure instead.
  5. 6G Tools, Tap Drill Calculator & Thread Engagement Calculator (read 26 September 2026), for the percentage-of-thread formulas and their constants: percentage = (major diameter − hole) ÷ (1.299 × pitch) × 100 in metric, and the identical inch form using 0.0130 per thread per inch. The 1.299 is twice the 0.6495-pitch thread depth of the American National and Unified truncated vee, which is the depth that convention counts.
  6. ISO 261 and ISO 262, ISO general purpose metric screw threads — the coarse and fine pitch series, and the selected sizes. Copyrighted; cited by number. The pitches used here are part of the thread designation itself (M6×1 names its own pitch) and were taken from the table in Wikipedia’s ISO metric screw thread article, which also gives the published geometry this page uses: the minor diameter of the internal thread is the major diameter less 1.0825 times the pitch.
  7. ISO 273, Fasteners — Holes for bolts and screws — Clearance holes, the source of the fine, medium and coarse clearance hole series. Copyrighted; the values used here were read from Mech Codex’s Metric Clearance Hole Sizes (ISO 273) reference and checked row by row against Xiaoman Tools’ metric clearance hole chart (both read 26 September 2026). The two agree at every size from M2 to M24.
  8. ASME B1.1, Unified Inch Screw Threads (UN, UNR and UNJ Thread Form), which defines the UNC and UNF series. Copyrighted; cited by number. The threads per inch used here are part of the thread’s own designation, and the number-size major diameter follows the published American screw gauge rule, 0.060 in plus 0.013 in per gauge number.