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Euclidean Algorithm Calculator
Greatest common divisor and least common multiple using the Euclidean algorithm.
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Greatest common divisor
Compare Your Options And Get Clear Answers
Greatest common divisor and least common multiple using the Euclidean algorithm.
Euclidean Algorithm Estimator
Enter your numbers below for an instant estimate.
0
💡 Tip: gcd(a,b) = gcd(b, a mod b).
How It Works
Key concepts behind this calculator
1
Enter Values
Fill in each field with your own numbers.
2
Calculate
Results update as you change the inputs.
3
Review
Read the breakdown and the explanation.
4
Adjust
Change values to compare scenarios.
Quick Reference Guide
Euclidean Quick Guide
Typical values for reference.
| a | b | GCD | |
|---|---|---|---|
| 1071 | 462 | 21 | |
| 48 | 18 | 6 | |
| 17 | 5 | 1 | |
| 1000 | 625 | 125 | |
| Rule of Thumb | Check inputs | Use as a guide | Round sensibly |
Common Questions
Euclidean Algorithm Calculator FAQ
Answers to common questions about this calculator.
A method to find the GCD by repeated division.
Replace the pair with b and a mod b until b is zero.
a times b divided by the GCD.
Yes, even for huge numbers.