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Simplify 231:77
The simplified ratio of 231:77 is 3:1. Free ratio calculator with GCD breakdown.
3:1
GCD of 231 and 77 is 77. Simplified: 231/77 : 77/77 = 3:1
How This Was Calculated
Simplification: Divide both terms by their GCD.A:B = (A/GCD) : (B/GCD)
Solving proportions: A/B = C/D — cross-multiply to find the missing value.
Scaling: Multiply both terms by the scale factor.
Quick Reference Table
| Input | Result |
|---|---|
| 231 / 72 | 77:24 |
| 231 / 75 | 77:25 |
| 231 / 76 | 231:76 |
| 231 / 78 | 77:26 |
| 231 / 79 | 231:79 |
| 231 / 82 | 231:82 |
Frequently Asked Questions
What is a ratio?
A ratio compares two quantities by division.
How do I simplify a ratio?
Divide both numbers by their greatest common divisor (GCD).
Can ratios have decimal values?
Yes, but simplified ratios are typically expressed as whole numbers.