Simplify Ratio Calculator

Reduce any ratio to its simplest form by dividing both sides by the greatest common divisor.

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Enter two or three values to simplify the ratio to its lowest terms.

Enter valid values Provide positive numbers for A and B to simplify the ratio to its lowest terms.

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Simplify ratio calculator: reduce ratios to lowest terms

A simplify ratio calculator reduces any ratio to its simplest form by dividing both (or all) parts by their greatest common divisor. The simplified ratio preserves the proportional relationship but uses the smallest possible whole numbers.

How to simplify a ratio

To simplify a ratio A:B, find the greatest common divisor (GCD) of A and B, then divide both by it. The GCD of 12 and 8 is 4, so 12:8 simplifies to 3:2. For ratios with three or more parts, find the GCD of all parts and divide each by it.

If either term contains a decimal, multiply all terms by the smallest power of 10 needed to clear the decimals, then find the GCD. For example, 1.5:2.5 becomes 15:25 after multiplying by 10, and the GCD of 15 and 25 is 5, giving 3:5.

Simplified = (A / GCD) : (B / GCD)

Divide each part of the ratio by the greatest common divisor of all parts.

When simplification is useful

Simplified ratios are easier to understand at a glance. A screen aspect ratio of 1920:1080 is more meaningful when simplified to 16:9. Recipe ratios like 250:100 are clearer as 5:2. In statistics, odds ratios and risk ratios are typically reported in their simplest form for readability.

Frequently asked questions

Can all ratios be simplified?

A ratio can be simplified only if its parts share a common factor greater than 1. If the GCD is 1, the ratio is already in its simplest form. For example, 7:3 cannot be simplified further.

Does simplifying a ratio change the proportion?

No. Simplification divides all parts by the same number, so the proportional relationship is preserved. 12:8 and 3:2 represent exactly the same relative sizes.

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