Engineering

Gear Ratio Calculator

Ratio, output speed and torque.

Enter your values

Enter the driving gear teeth you are working with.

Enter the driven gear teeth you are working with.

Enter the input speed in rpm.

Enter the input torque in Nm.

Results update instantly as you type — no submit needed. Your values are remembered on this device, and the shareable link reopens the calculator with exactly these numbers.

Results
Gear ratio
3:1
Output speed
583 rpm
Output torque
36 Nm
Mechanical advantage
3

Quick answer

Gear ratio is driven teeth divided by driving teeth; it trades speed for torque.

Ratio = driven teeth ÷ driving teeth

At a glance

What it doesRatio, output speed and torque.
CategoryEngineering
Inputs neededDriving gear teeth, Driven gear teeth, Input speed, Input torque
Main outputGear ratio
FormulaRatio = driven teeth ÷ driving teeth
CostFree — no sign-up, no download

How to use the Gear Ratio Calculator

  1. 1Enter the tooth count of both gears.
  2. 2Enter input speed and torque.
  3. 3Read the output speed and torque.

Inputs explained

Driving gear teeth
Enter the driving gear teeth you are working with.
Driven gear teeth
Enter the driven gear teeth you are working with.
Input speed(rpm)
Enter the input speed in rpm.
Input torque(Nm)
Enter the input torque in Nm.

Worked example

Using the values the calculator loads with:

Inputs

  • Driving gear teeth18
  • Driven gear teeth54
  • Input speed1750 rpm
  • Input torque12 Nm

Results

  • Gear ratio3:1
  • Output speed583 rpm
  • Output torque36 Nm
  • Mechanical advantage3

Frequently asked questions

Does a gearbox create power?

No — torque rises only as speed falls, minus friction losses.

What is overdrive?

A ratio below 1:1, which raises speed and reduces torque.

What do I need to enter into the Gear Ratio Calculator?

Just 4 values: driving gear teeth, driven gear teeth, input speed, input torque. Every field starts with a realistic example, so you can change one number at a time and watch the result update instantly.

How does the Gear Ratio Calculator work out the answer?

Gear ratio is driven teeth divided by driving teeth; it trades speed for torque. It applies the formula Ratio = driven teeth ÷ driving teeth and shows the working so you can check each step by hand.

Is the Gear Ratio Calculator free, and do I need an account?

It is completely free with no sign-up, no download and no usage limit. Everything is calculated in your browser, so the numbers you type never leave your device.

Results are estimates for general information. For medical, legal, structural or financial decisions, confirm with a qualified professional.