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Simplify 77:21
The simplified ratio of 77:21 is 11:3. Free ratio calculator with GCD breakdown.
11:3
GCD of 77 and 21 is 7. Simplified: 77/7 : 21/7 = 11:3
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 |
|---|---|
| 77 / 16 | 77:16 |
| 77 / 19 | 77:19 |
| 77 / 20 | 77:20 |
| 77 / 22 | 7:2 |
| 77 / 23 | 77:23 |
| 77 / 26 | 77:26 |
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.