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Calculator Tools
Gear Calculators

Gear Module Calculator

Gear module from pitch diameter and teeth, with the centre distance for a meshing pair.

Enter values

Results update as you type.

Result

Module

2 mm

Diametral pitch
12.7 DP
Circular pitch
6.2832 mm
Nearest standard module
2 mm
Centre distance
60 mm

About the Gear Module Calculator

Gear module from pitch diameter and teeth, with the centre distance for a meshing pair.

Also known as: module from diameter, metric gear module, diametral pitch converter, gear centre distance.

How to use this calculator

  1. Enter i know the, teeth on the mating gear and the other fields.
  2. The result updates instantly as you type — press Calculate (or Enter) at any time.
  3. Review the breakdown shown under the main result.
  4. Use Copy result or Share to save the answer or send a link with your inputs.

Formula

module = pitch diameter ÷ number of teeth = 25.4 ÷ DP

Worked example

Using the values pre-filled in the calculator above:

  • I know the: Pitch diameter and teeth
  • Pitch diameter = 80 mm
  • Teeth = 40
  • Teeth on the mating gear = 20

the calculator returns:

  • Module: 2 mm
  • Diametral pitch: 12.7 DP
  • Circular pitch: 6.2832 mm
  • Nearest standard module: 2 mm