Before tapping a hole you drill it to the thread’s minor diameter, more or less. Charts list one drill per tap; this calculator computes the drill for the percentage of thread you want (75% is standard) from the Machinery’s Handbook formula and then finds the closest number, letter, fractional and metric drills, reporting the thread engagement each one gives. It covers #0 to 1 in Unified threads and M1.6 to M24 metric, coarse and fine.
Tap drill size calculator
How it works
- Inch threads: drill = major diameter − (0.01299 × % thread ÷ threads per inch)
- Metric threads: drill = major diameter − (0.01299 × % thread × pitch in mm)
- Engagement of a chosen drill: % = (major − drill) ÷ (0.01299 × pitch)
The constant 0.01299 comes from the geometry of a 60° thread. A 1/4-20 tap at 75% wants a 0.201 in hole, which is why every chart says #7. For metric threads the familiar rule “drill = diameter − pitch” gives about 77% thread, the same as the standard chart.
Worked example
A 1/4-20 UNC thread at 75% engagement:
- Thread: 1/4-20 UNC
- Thread engagement: 75%
The calculator gives:
- Closest standard drill: #7 (0.201 in, 5.11 mm) = 75% thread
- Theoretical drill for 75%: 0.2013 in (5.11 mm)
- Nearest number or letter drill: #7 (0.201 in, 5.11 mm) = 75% thread
- Nearest fractional drill: 13/64" (0.2031 in, 5.16 mm) = 72% thread
- Nearest metric drill: 5.1 mm (0.2008 in, 5.1 mm) = 76% thread
- Thread: 1/4-20 UNC: major 0.25 in, 20 threads per inch
The theoretical drill is 0.2013 in and the closest standard drill is #7 at 0.201 in, giving 75% thread. The nearest fractional drill, 13/64 in (0.2031), gives 72%, and 5.1 mm gives 76%: all three will make a usable thread in aluminium or mild steel.
Common tap drill sizes at 75% thread
| Thread | Tap drill | Thread % |
|---|---|---|
| #4-40 UNC | #43 (0.089 in) | 71% |
| #6-32 UNC | #36 (0.1065 in) | 78% |
| #8-32 UNC | #29 (0.136 in) | 69% |
| #10-24 UNC | #25 (0.1495 in) | 75% |
| #10-32 UNF | #21 (0.159 in) | 76% |
| 1/4-20 UNC | #7 (0.201 in) | 75% |
| 1/4-28 UNF | #3 (0.213 in) | 80% |
| 5/16-18 UNC | F (0.257 in) | 77% |
| 3/8-16 UNC | 5/16" (0.3125 in) | 77% |
| 7/16-14 UNC | U (0.368 in) | 75% |
| 1/2-13 UNC | 27/64" (0.4219 in) | 78% |
| 5/8-11 UNC | 17/32" (0.5313 in) | 79% |
| 3/4-10 UNC | 21/32" (0.6563 in) | 72% |
| M3 x 0.5 | 2.5 mm (0.0984 in) | 77% |
| M4 x 0.7 | 3.3 mm (0.1299 in) | 77% |
| M5 x 0.8 | 4.2 mm (0.1654 in) | 77% |
| M6 x 1 | 5 mm (0.1969 in) | 77% |
| M8 x 1.25 (coarse) | 6.8 mm (0.2677 in) | 74% |
| M10 x 1.5 (coarse) | 8.5 mm (0.3346 in) | 77% |
| M12 x 1.75 (coarse) | 10.3 mm (0.4055 in) | 75% |
Metric tap drill chart (mm)
| Thread | Tap drill | In inches | Thread % |
|---|---|---|---|
| M1.6 x 0.35 | 1.25 mm | 0.0492 in | 77% |
| M2 x 0.4 | 1.6 mm | 0.063 in | 77% |
| M2.5 x 0.45 | 2.05 mm | 0.0807 in | 77% |
| M3 x 0.5 | 2.5 mm | 0.0984 in | 77% |
| M3.5 x 0.6 | 2.9 mm | 0.1142 in | 77% |
| M4 x 0.7 | 3.3 mm | 0.1299 in | 77% |
| M5 x 0.8 | 4.2 mm | 0.1654 in | 77% |
| M6 x 1 | 5 mm | 0.1969 in | 77% |
| M7 x 1 | 6 mm | 0.2362 in | 77% |
| M8 x 1.25 (coarse) | 6.75 mm | 0.2657 in | 77% |
| M8 x 1 (fine) | 7 mm | 0.2756 in | 77% |
| M10 x 1.5 (coarse) | 8.5 mm | 0.3346 in | 77% |
| M10 x 1.25 (fine) | 8.75 mm | 0.3445 in | 77% |
| M12 x 1.75 (coarse) | 10.25 mm | 0.4035 in | 77% |
| M12 x 1.25 (fine) | 10.75 mm | 0.4232 in | 77% |
| M14 x 2 | 12 mm | 0.4724 in | 77% |
| M16 x 2 | 14 mm | 0.5512 in | 77% |
| M18 x 2.5 | 15.5 mm | 0.6102 in | 77% |
| M20 x 2.5 | 17.5 mm | 0.689 in | 77% |
| M24 x 3 | 21 mm | 0.8268 in | 77% |
Notes and limits
- 75% thread is the usual target: the strength gain above it is small and tapping torque rises steeply. Use 50 to 60% in tough steels and stainless, up to 85% in plastics and soft aluminium.
- A tap drill makes the hole for the tap. The clearance hole for the bolt itself is larger: ASME B18.2.8 lists close and free fits.
- Drill diameters are the nominal sizes in ASME B94.11M; real holes drill slightly oversize, so the engagement is usually a little under the figure shown.
- Roll-form (fluteless) taps need a larger hole than cutting taps: use the tap maker’s chart, not this one.
- Thread engagement is not the same as the depth of the hole. Drill deeper than the tap will reach so chips have somewhere to go: the tapped hole depth calculator works out how deep.
- More detail for the most asked-about sizes: the 1/4-20 tap drill guide and the metric fine thread tap drill chart (M8 x 0.75, M10 x 1.25 and other fine pitches).
Frequently asked questions
What drill bit do I use for a 1/4-20 tap?
A #7 drill (0.201 in) for the standard 75% thread. 13/64 in is a close fractional substitute at about 72%.
What size hole for an M6 tap?
5.0 mm, which gives about 77% thread. That follows the rule drill = diameter − pitch (6 − 1).
What size drill for a 3/8-16 tap?
5/16 in (0.3125), giving 77% thread. The letter O drill (0.316) gives about 73%.
What size drill for an M4 tap?
3.3 mm for the standard M4 x 0.7 thread (4 − 0.7). The screw length does not matter: an M4 x 70 screw uses the same 3.3 mm hole. The nearest inch drill is #30 (0.1285 in).
What size drill for a 10-24 tap?
#25 (0.1495 in) at 75%. For 10-32, use #21 (0.159 in).
Does percentage of thread matter?
Yes. Under about 50% the thread strips easily; over about 85% the tap works very hard and small taps break. 75% is the compromise most charts assume.
Sources
- ASME B1.1, Unified Inch Screw Threads (UN and UNR Thread Form): major diameters and threads per inch
- ASME B94.11M, Twist Drills, Straight Shank and Taper Shank, Combined Drills and Countersinks (number, letter and fractional drill diameters)
- ASME B18.2.8, Clearance Holes for Bolts, Screws and Studs
Last reviewed: 26 September 2026. The calculation is covered by automated tests with known answers taken from the sources above. Found an error? Please let us know.
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