Gear Ratio Calculator

TRANSMISSION & DRIVETRAIN
Gear Ratio
Torque Multiplier
Output Speed
Type
Find the ratio from RPM instead
How this compares to common ratios
Ratio Torque Multiplier
Gear ratio is the number of input turns needed for one output turn, found by dividing the driven (output) gear teeth by the drive (input) gear teeth. A ratio above one is a reduction: it multiplies torque and lowers output speed, the basis of low gears and axle ratios. A ratio below one is an overdrive, trading torque for speed. The same ratio also equals input RPM divided by output RPM.

What a Gear Ratio Is

A gear ratio compares how fast two meshed gears turn. Divide the teeth on the driven gear by the teeth on the drive gear and you get the ratio, the number of input rotations for one output rotation. It is the single most important number in any geared system, from a transmission to a differential, because it sets the trade between speed and torque.

Torque Up, Speed Down

A reduction ratio above one multiplies torque by that factor while cutting output speed by the same amount. That is how a low first gear or a numerically high axle ratio launches a heavy vehicle. An overdrive ratio below one does the reverse, spinning the output faster than the input to lower cruising RPM and save fuel at the expense of torque.

From Teeth or From RPM

You can find the same ratio two ways: count the teeth, or divide input RPM by output RPM. They always agree, which is handy when you can measure shaft speeds but cannot see inside the case. Chaining ratios, such as a transmission gear times an axle ratio, multiplies them into a single overall final drive.

Frequently Asked Questions

Which gear is the driven one?

The driven gear is the output, the one receiving power. The drive gear is the input. Driven teeth divided by drive teeth gives the ratio.

What is a good axle ratio?

It depends on use. Numerically higher ratios like 4.10 favor acceleration and towing; lower ratios like 3.08 favor fuel economy and top speed.

How do multiple gears combine?

Multiply them. A 3.20 first gear times a 3.73 axle gives an 11.94 overall final drive in that gear.

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The calculators and tools on Formula Factory are provided for general guidance and informational purposes only. Results are estimates based on standard formulas and the values you enter — they do not constitute professional engineering, electrical, or architectural advice. Always verify calculations with a qualified professional before making decisions for any safety-critical, code-compliance, or commercial application. Formula Factory makes no representations or warranties as to the accuracy or completeness of any result, and accepts no liability for errors, omissions, or any outcomes arising from reliance on this information.