How It Works

Both terms of the ratio are divided by their greatest common divisor (GCD). Dividing both terms by the same common factor preserves the value of the ratio while reducing it to its simplest whole-number form.

Simplified Ratio = (a ÷ GCD(a,b)) : (b ÷ GCD(a,b))

Example

For example, the ratio 8:12 has a greatest common divisor of 4. Dividing both terms by 4 gives 2:3, so the simplest form of 8:12 is 2:3.

Frequently Asked Questions

How do you simplify a ratio?

Find the greatest common divisor of both terms, then divide each term by that number. For example, 8:12 becomes 2:3 because the GCD of 8 and 12 is 4.

What is the simplest form of 8:12?

The simplest form of 8:12 is 2:3. Both terms can be divided by their greatest common divisor, 4.

Can I use decimals in this ratio calculator?

This calculator is designed for positive whole-number ratio terms. If you have decimal values, convert them to equivalent whole numbers by multiplying both terms by the same power of 10 before simplifying.

What is the difference between a ratio and a fraction?

A ratio compares two quantities, while a fraction represents a part of a whole or a quotient. A ratio such as 2:3 can also be written as 2/3 when the context treats it as a quotient.

What does ratio in lowest terms mean?

A ratio is in lowest terms when its two whole-number terms have no common factor greater than 1.