Ratio Calculator
Simplify ratios, find equivalent proportions, and solve missing ratio terms A:B = C:D.
Simplified Ratio (A : B)
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How to Simplify and Scale Ratios
- Enter the antecedent (A) and consequent (B) of your ratio.
- The tool computes the Greatest Common Divisor (GCD) using Euclid’s algorithm.
- View the simplified whole-number ratio, decimal equivalence, and scaled proportions.
Mathematical Ratio Simplification
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Simplification:
A:B = (A / GCD(A, B)) : (B / GCD(A, B)) -
Proportion Scaling:
A / B = C / D → D = (B × C) / A
Practical Ratio Examples
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Screen Resolution: 1920:1080 simplifies by GCD 120 →
16:9widescreen aspect ratio. -
Recipe Scaling: Flour to water ratio of 500g:250g simplifies by GCD 250 →
2:1.
Common Applications
- Video and photography aspect ratio scaling (16:9, 4:3, 1:1).
- Culinary recipe ingredient batching and dilution ratios.
- Financial gearing ratios and balance sheet liquidity proportions.
Frequently Asked Questions
What is the Greatest Common Divisor (GCD)?
The GCD is the largest positive integer that divides both numbers without leaving a remainder.
Can I enter decimal numbers in ratios?
Yes. The algorithm scales decimals by factors of 10 to find clean integer ratio equivalents.