Ratio Simplifier Calculator
Simplify a ratio A : B to its lowest terms.
Your numbers
Your results
Simplified A
Simplified A
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Simplified B
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Simplified ratio
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A as share of total
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B as share of total
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Ratio Simplifier Calculator by TheCalcTools
How the Ratio Simplifier Calculator works
Enter the two parts of the ratio as whole numbers.
The calculator finds their greatest common divisor.
Dividing both parts by it gives the simplest equivalent ratio.
The formula
A : B = (A ÷ g) : (B ÷ g), where g = gcd(A, B)
Worked example
Using the default values shown in the calculator:
| A | 24 |
|---|---|
| B | 36 |
- The greatest common divisor of 24 and 36 is 12.
- 24 ÷ 12 = 2 and 36 ÷ 12 = 3, so the ratio is 2 : 3.
- A is 40.0% of the total and B is 60.0%.
Result:
| Simplified A | 2 |
|---|---|
| Simplified B | 3 |
| Simplified ratio | 2 : 3 |
| A as share of total | 40.0% |
| B as share of total | 60.0% |
Frequently asked questions
How do I scale a ratio?
Multiply both parts by the same number. 2 : 3 is equivalent to 4 : 6 and 20 : 30.
How do I use a ratio to share a total?
Add the parts, divide the total by that sum, then multiply by each part.
Sources and further reading
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This calculator gives estimates for information only. Check important results independently before you rely on them. See our disclaimer.