Gear Ratio Calculator: Formula, Tables and Common Mistakes

If you want a straight answer on gear ratio calculator, start with the formula: RPM equals speed times gear ratio times final drive times 336, divided by tyre diameter in inches. That one formula answers every gear-ratio question on this page — what RPM you will see at a given speed, what speed a given RPM means, and what ratio you need when the tyre size changes. This page works the formula step by step, gives RPM tables at 30, 50 and 70 mph, and explains what the numbers mean for acceleration, towing and cruising.

This is a calculation, not a safety approval. Always check your vehicle's door-jamb placard, load index and speed rating, and confirm fitment with a tyre professional before fitting a different tyre size.

gear ratio calculator: The RPM formula

Taking gear ratio calculator as the case in point: RPM = (speed × gear ratio × final drive × 336) ÷ tyre diameter (inches) is the whole method in one line. Speed is in mph, the gear ratio is the transmission gear in use — 1.00 in direct drive, under 1.00 in overdrive, 0.69 for a typical overdrive gear — the final drive is the axle ratio, and 336 is the constant that makes the units work. Turn it round for speed: speed = (RPM × tyre diameter) ÷ (gear ratio × final drive × 336). Diameters here are nominal (new-tyre) figures, and real tyres vary slightly by brand, model, wear and inflation pressure, so take the diameter from the tyre-size chart for your size: a 275/55R20 measures 810.5 mm (31.91 in) across.

Worked example: RPM at 30, 50 and 70 mph for gear ratio calculator

Taking gear ratio calculator as the case in point: Take a 275/55R20 tyre with a nominal diameter of 810.5 mm (31.91 in) and a 3.21 axle ratio, in direct drive (gear ratio 1.00). At 70 mph, RPM = (70 × 1.00 × 3.21 × 336) ÷ 31.91 = 2,366. At 50 mph the same sum gives 1,690 RPM, and at 30 mph it gives 1,014 RPM. In overdrive — a 0.69 gear ratio, as an example — the 70 mph figure falls to 1,633 RPM, which is why motorway cruising feels relaxed in top gear. Change any one input and the answer moves in proportion: a bigger tyre lowers RPM, a higher ratio raises it, and a taller overdrive gear lowers it again.

RPM table: 30, 50 and 70 mph for gear ratio calculator

On this page, gear ratio calculator is the case in point: RPM for a 3.21 axle ratio on a 275/55R20 tyre (31.91 in diameter). The direct-drive column uses a 1.00 gear ratio; the overdrive column uses 0.69 as an example.

Speed (mph) RPM in direct drive (1.00) RPM in overdrive (0.69)
30 1,014 700
50 1,690 1,166
70 2,366 1,633

gear ratio calculator: Speed at fixed RPM

Taking gear ratio calculator as the case in point: Rearranged, the formula gives speed from RPM. With the same 3.21 ratio and 31.91-inch tyre, 2,000 RPM in direct drive means 59.2 mph, and 3,000 RPM means 88.8 mph. In overdrive the same 2,000 RPM means 85.8 mph. That is the quickest way to sanity-check a ratio you have found on an axle tag: drive at a steady speed in a known gear, note the RPM, and see whether the formula's answer matches the speedometer. If it does not, either the ratio is not what you thought, the tyre diameter is not what you assumed, or the speedometer itself is off — all three are worth checking before spending money on gears.

What the gear ratio changes for gear ratio calculator

On this page, gear ratio calculator is the case in point: The ratio sets where the engine lives. With a numerically higher ratio, such as 4.10 against 3.21, the engine turns faster at the same road speed and delivers more torque to the wheels — stronger acceleration, easier towing, more noise and usually more fuel on a motorway run. With a numerically lower ratio the engine turns slower, cruising is quieter and more economical, but the vehicle is lazier off the line and downshifts more on hills. A ratio that is too low for the tyre size is its own problem: the engine labours, the transmission hunts, and fuel use can rise rather than fall. Larger tyres have the same effect as a lower ratio, which is why the ratio is the usual correction after a tyre-size change. Judge the choice by the RPM at the speeds you actually drive, not by the size of the number.

gear ratio calculator: Common mistakes

  • Taking gear ratio calculator as the case in point: Using the rim size as the tyre diameter. A 17-inch rim is not a 17-inch tyre: the overall diameter includes both sidewalls, so a 265/70R17 is about 31.6 inches across, and using 17 inches in the formula gives nonsense.
  • On this page, gear ratio calculator is the case in point: Changing ratios without recalibrating the speedometer. The speedometer, odometer and shift points all depend on the ratio and tyre size, so a gear change without recalibration leaves every reading wrong.
  • For gear ratio calculator, the point is this: Ignoring the transmission's gear spacing. The axle ratio is only half the story: the transmission's own ratios decide how the gears step, and a wide-ratio gearbox can make a tall axle work where a close-ratio one would struggle.
  • For gear ratio calculator, the point is this: Using the tyre's sidewall size instead of its diameter. The formula needs the overall diameter in inches, not the width or the rim size — a 265/70R17 is 31.61 inches across, and using 17 inches instead would give nonsense.

Related calculations for gear ratio calculator

These pages continue from here: the same method on a neighbouring question, or the calculator that runs the arithmetic for you. That is the point this page works through for gear ratio calculator.

Putting your figure to work for gear ratio calculator

On this page, gear ratio calculator is the case in point: Putting the figure to work means using the formula with your own numbers before spending money. Measure the tyre diameter from the chart for your size, find the axle ratio from the tag or the build sheet, and work out the RPM at the speeds you actually drive. If the cruising RPM is far from where the engine is happy, a ratio change is worth pricing — but price the whole job, including the ring and pinion, the installation and the speedometer recalibration, and confirm the choice with a drivetrain specialist. The formula is the cheap part; the gears are the expensive part, and the calculation exists so you only buy them once.

Frequently asked questions

What gear ratio do I need for bigger tyres?

Work out the ratio that restores the stock RPM: new ratio = old ratio × (new tyre diameter ÷ old tyre diameter). Pick the nearest common ratio as a starting point and confirm it with a drivetrain specialist, because transmission gearing and how the vehicle is used also matter. That is the point this page works through for gear ratio calculator.

Can I change just the rear axle ratio on a 4x4?

For gear ratio calculator, the point is this: No — on a four-wheel-drive vehicle the front and rear ratios must match, or the axles will fight each other in four-wheel drive and damage the transfer case. Both axles have to be changed together, which is why a 4x4 gear change costs more than a two-wheel-drive one.

How do I find my gear ratio?

Taking gear ratio calculator as the case in point: Check the axle tag on the differential cover, the door-jamb sticker, the build sheet, or ask a dealer to decode the VIN. You can also count driveshaft turns against wheel turns, or check the ratio against the RPM formula at a steady speed.

Does gear ratio affect fuel economy?

On this page, gear ratio calculator is the case in point: Yes, in both directions. A ratio that is too high raises cruising RPM and usually uses more fuel on the motorway; a ratio that is too low for the tyre size makes the engine labour and the transmission downshift, which can also waste fuel. The efficient ratio is the one that keeps the engine in its useful rev range for how you drive.

Do I need to recalibrate the speedometer after a gear change for gear ratio calculator?

Taking gear ratio calculator as the case in point: Yes. The speedometer, odometer and shift points depend on the ratio and tyre size, so changing gears without recalibration leaves every reading wrong. Recalibration is usually done with a programmer or by a dealer, depending on the vehicle.