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Q: What is the GCD of 14 and 42?

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GCD: 14

GCD: 14

The Greatest Common Divisor (GCD) for 42 56 is 14.

since 14 = 14 x 1 and 56 = 14 x 4 the answer is 14, since it divides evenly into both and clearly nothing larger will.There is a clever algorithm that can help you work this out in the general case:GCD(14, 56) = GCD(14, 56 - 14) = GCD(14, 42)This step (subtract the smaller from the larger) relies on the fact that any number that divides both 14 and 56 also divides 56 - 14.Repeat this:GCD(14, 42) = GCD(14, 42 - 14) = GCD(14, 28)GCD(14, 28) = GCD(14, 28 - 14) = GCD(14, 14)which is clearly 14.This is called Euclid's Algorithm.

GCD(42, 65) = 1

GCD: 21

The GCF is 3.

Greatest Common Divisor (GCD) for 30 42 is 6.

GCD: 6

GCD(14, 34) = 2GCD(14, 34) = 2GCD(14, 34) = 2GCD(14, 34) = 2

10

Greatest Common Divisor (GCD) for 14 28 56 is 14.

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