Euclidean AlgorithmStep-by-StepMultiple Numbers

How It Works

1

Enter Numbers

Type two or more positive integers.

2

View Results

See GCD and LCM computed instantly.

3

Learn the Steps

Follow the Euclidean algorithm breakdown.

Frequently Asked Questions

What is the Euclidean algorithm?
It is an efficient method for computing GCD. It repeatedly divides the larger number by the smaller and takes the remainder until the remainder is zero.
Can I calculate GCD/LCM for more than 2 numbers?
Yes. Enter as many numbers as you need, separated by commas. The calculator applies the algorithm pairwise.
What is the relationship between GCD and LCM?
For two numbers a and b: a * b = GCD(a,b) * LCM(a,b). This relationship is shown in the results.
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About GCD & LCM

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For loan and mortgage calculations, small changes in interest rate matter more than you think. Try adjusting the rate by 0.25% to see how it affects total interest paid over the life of the loan.

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