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Simplify 21:77
The simplified ratio of 21:77 is 3:11. Free ratio calculator with GCD breakdown.
3:11
GCD of 21 and 77 is 7. Simplified: 21/7 : 77/7 = 3:11
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 |
|---|---|
| 21 / 72 | 7:24 |
| 21 / 75 | 7:25 |
| 21 / 76 | 21:76 |
| 21 / 78 | 7:26 |
| 21 / 79 | 21:79 |
| 21 / 82 | 21:82 |
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.