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M39×3 Tap Drill Size

The number you came for, then the reasoning behind it.

M39×3 tap drill — 75% thread 36 mm 36.077 mm exact · nearest inch drill 91/64 (1.4219")

How it's calculated

Tap drill = major diameter − pitch  →  39 − 3 = 36 mm

The exact 75% figure is major − (pitch × 75 / 76.98). The simple subtract-the-pitch rule lands within a hundredth of a millimetre of it, which is why every machinist uses it.

All engagement percentages

% threadExact hole Metric drill Inch equivalent
50%37.051 mm37 mm1.4531" (93/64 drill)
65%36.467 mm36.5 mm1.4375" (23/16 drill)
75%36.077 mm36 mm1.4219" (91/64 drill)
85%35.687 mm35.5 mm1.3906" (89/64 drill)
Which percentage should you actually use?
75% for through-holes in mild steel and aluminium. 65% for blind holes, stainless, titanium and anything where the tap is at risk. 50% for hand-tapping deep holes. The strength you give up going from 75% to 60% is around 5%; the tapping torque you give up is around 30%. In practice the threads almost never fail — the tap does.

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