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Number Theory

Level 11 / build-up

GCD (<= 80)

3 visual steps / Euclidean GCD

1. Euclid step

GCD(72, 48)1. Euclid stepReplace the pair with a remainder.172 = 48 + 24248 = 24 x 23GCD = 24
Replace the pair with a remainder.

Replace the pair with a remainder.

2. Repeat

GCD(72, 48)2. RepeatContinue until the remainder stops.172 = 48 + 24248 = 24 x 23GCD = 24
Continue until the remainder stops.

Continue until the remainder stops.

3. Last divisor

GCD(72, 48)3. Last divisorThe last divisor is the GCD.172 = 48 + 24248 = 24 x 23GCD = 24
The last divisor is the GCD.

The last divisor is the GCD.

Practice Level 11

Use the visible move, then type only when the answer is clear.

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