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How-to guide

How to Calculate Gear Ratio: Formula, Steps & Examples

Learn how to calculate Gear Ratio — the formula explained step by step, with worked examples and a free calculator to check your answer.

By Arjun Desai, B.Tech (Engineering) · Updated Jun 2026 · 2 min read

Calculating your gear ratio (to 1) is straightforward once you know the Gear Ratio formula and what each input means. This guide explains the method in plain language, walks through a manual calculation, and gives worked examples you can follow — then you can do it instantly with the Gear Ratio Calculator.

What is Gear Ratio?

The Gear Ratio calculation tells you your gear ratio (to 1) from a few simple inputs. The figure you are solving for here is the gear ratio (to 1).

The Gear Ratio formula

The core formula is:

Gear ratio (to 1) = Driven gear teeth ÷ Drive gear teeth

Here is what each input means:

  • Driven gear teeth — a number. Example: 40.
  • Drive gear teeth — a number. Example: 10.

How to calculate it step by step

  • Write down the driven gear teeth (for example, 40).
  • Write down the drive gear teeth (for example, 10).
  • Apply the formula above to get your gear ratio (to 1).
  • Double-check the result with the Gear Ratio Calculator.

Worked examples

Example 1

Input / OutputValue
Driven gear teeth40
Drive gear teeth10
Gear ratio (to 1)4.000

With driven gear teeth of 40 and drive gear teeth of 10, the gear ratio (to 1) works out to 4.000.

Example 2

With driven gear teeth of 80 and drive gear teeth of 10, the gear ratio (to 1) works out to 8.000.

ResultValue
Gear ratio (to 1)8.000

Example 3

With driven gear teeth of 20 and drive gear teeth of 10, the gear ratio (to 1) works out to 2.000.

ResultValue
Gear ratio (to 1)2.000

Tips for an accurate result

  • Keep your units consistent — mixing, say, months with years or grams with kilograms is the most common source of error.
  • Round only at the very end. Rounding inputs early can shift the final answer noticeably.
  • Re-run the numbers whenever an input changes, rather than estimating from an old result.

Prefer not to do the maths by hand? — the Gear Ratio Calculator does it instantly, for free, with the formula and a worked example built in.

Continue exploring automotive calculators with these tools: Engine Displacement Calculator, Compression Ratio Calculator, Horsepower to Torque Calculator, Tire Size Calculator, Car Lease Calculator.

Calculators in this guide

Frequently asked questions

The formula is: Gear ratio (to 1) = Driven gear teeth ÷ Drive gear teeth. With driven gear teeth of 40 and drive gear teeth of 10, the gear ratio (to 1) works out to 4.000.

Gather each input, apply the formula step by step keeping your units consistent, and round only at the end. You can verify your answer instantly with the Gear Ratio Calculator.

It uses the standard formula with exact arithmetic, so the result is correct for the inputs you enter. Bear in mind that real-world outcomes can still differ when underlying assumptions change.

Arjun Desai · B.Tech (Engineering)

Arjun Desai is an engineer who writes about the practical physics, electronics and energy calculations behind everyday technology.