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Number Theory

Level 10 / foundation

GCD (<= 50)

3 visual steps / Euclidean GCD

1. Euclid step

GCD(42, 30)1. Euclid stepReplace the pair with a remainder.142 = 30 + 12230 = 12 x 2 + 63GCD = 6
Replace the pair with a remainder.

Replace the pair with a remainder.

2. Repeat

GCD(42, 30)2. RepeatContinue until the remainder stops.142 = 30 + 12230 = 12 x 2 + 63GCD = 6
Continue until the remainder stops.

Continue until the remainder stops.

3. Last divisor

GCD(42, 30)3. Last divisorThe last divisor is the GCD.142 = 30 + 12230 = 12 x 2 + 63GCD = 6
The last divisor is the GCD.

The last divisor is the GCD.

Practice Level 10

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

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