Teeth · stages · rotational speed

Turn every gear stage into one exact answer.

GearTrain multiplies one to four external gear pairs as reduced integer fractions, then derives ideal speed and direction without a parts database.

Calculate gear ratio

Tooth counts and RPM stay in this browser. Verify geometry, load, speed limits, and safety separately.

Three transparent steps

Describe the stages, reduce the fraction, read ideal motion

01

Enter each external pair

Name driver and driven teeth in motion order.

02

Keep one exact fraction

Ratios are multiplied and reduced before display.

03

Separate motion from design

Check compatible geometry, load, speed, and guarding elsewhere.

One bounded kinematic tool

Useful for checking a gearbox sketch before deeper design

  • Confirm which way to divide driver and driven teeth.
  • Combine up to four compound stages without intermediate rounding.
  • Translate a known input RPM into ideal output speed.
  • Check same or opposite output direction from mesh parity.

Worked examples

Trace one 3:1 pair and one compound 9:1 train

Enter one to four external gear pairs. GearTrain reduces the complete fraction before it displays ratio, speed factor, output RPM, and direction.
View examples

Keep every stage exact

Combine the tooth-count ratios in GearTrain

Enter one to four external gear pairs. GearTrain reduces the complete fraction before it displays ratio, speed factor, output RPM, and direction.

Open GearTrain