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Tap drill size: what drill for this thread?

Find the tap drill diameter for any thread from its diameter, pitch and the percentage of thread you want, and convert between threads per inch and millimeter pitch.

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Tap drill diameter

0.2013 in

About 75% thread: the usual compromise; pick the nearest standard drill
Tap drill diameter in millimeters
5.11 mm
Quick rule: diameter minus pitch
0.2 in
Thread pitch in millimeters
1.270 mm

Why the drill size matters

Before tapping a thread, you drill a hole slightly smaller than the screw. The tap then cuts the thread into the wall of the hole. Too large a hole leaves shallow threads that strip; too small a hole makes tapping hard and often breaks the tap.

The formula

The percentage of thread describes how deep the thread is compared with a full theoretical thread. The classic formula from shop references is:

Tap drill = major diameter − 1.299 × pitch × (% thread ÷ 100)

where the pitch is 1 ÷ threads per inch for inch threads, or the pitch in millimeters for metric threads. At 75% thread, the factor 1.299 × 0.75 is very close to 1, which gives the well-known quick rule:

Tap drill ≈ diameter − pitch

Example

For a 1/4-20 thread at 75%: 0.25 − 1.299 × (1 ÷ 20) × 0.75 ≈ 0.201 in, exactly a #7 drill. For M6 × 1: 6 − 1 = 5.0 mm.

Common tap drills

Thread Tap drill
6-32 #36 (0.1065 in)
8-32 #29 (0.136 in)
10-32 #21 (0.159 in)
1/4-20 #7 (0.201 in)
5/16-18 F (0.257 in)
3/8-16 5/16 in (0.3125 in)
1/2-13 27/64 in (0.4219 in)
M5 × 0.8 4.2 mm
M8 × 1.25 6.8 mm
M10 × 1.5 8.5 mm

How much thread do you need?

Tests show that a 75% thread is only about 5% weaker than a full thread, but takes roughly three times less torque to tap. So:

  • 75% is the standard choice for most steels, aluminum and brass.
  • 60% to 65% suits hard or tough materials such as stainless steel and tool steel, and deep holes.
  • Up to 80% to 85% can help in thin sheet, where few threads engage.

Tips

  • Thread-forming (roll) taps do not cut chips; they need a larger hole, about the pitch diameter. Check the tap maker’s chart.
  • Use cutting fluid, and back the tap off every half to one turn to break chips with a hand tap.
  • For blind holes, drill deeper than the thread length so the tap does not bottom out on chips.
  • Chamfer the hole slightly before tapping to help the tap start straight.

Thread pitch conversion

To compare inch and metric threads, pitch in mm = 25.4 ÷ TPI. A 20 TPI thread has a 1.27 mm pitch, close to but not interchangeable with a 1.25 mm metric pitch.

Frequently asked questions

How do you calculate tap drill size?

Tap drill = major diameter − 1.299 × pitch × (% thread ÷ 100). At 75% thread this is very close to diameter minus pitch.

What drill size for a 1/4-20 tap?

A #7 drill (0.201 in) gives about 75% thread, the standard choice for a 1/4-20 cut tap.

What drill size for an M6 tap?

A 5.0 mm drill for M6 × 1 coarse thread, and 6.8 mm for M8 × 1.25, using the diameter minus pitch rule.

Why not tap a full 100% thread?

A 75% thread is only about 5% weaker but needs roughly a third of the tapping torque, so taps break far less often.

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Results are estimates provided for information purposes. They do not replace professional advice.