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

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12y ago

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Greatest number both 42 and 56 are divisible by?

The greatest number that both 42 and 56 are divisible by is their greatest common divisor (GCD). To find the GCD, we can list the factors of each number: the factors of 42 are 1, 2, 3, 6, 7, 14, 21, and 42; the factors of 56 are 1, 2, 4, 7, 8, 14, 28, and 56. The largest common factor is 14, so the GCD of 42 and 56 is 14.


What is the greatest number that both 42 and 56 are divisible by?

The greatest number that both 42 and 56 are divisible by is their greatest common divisor (GCD). To find the GCD, we can use the prime factorization method: 42 can be factored into (2 \times 3 \times 7) and 56 into (2^3 \times 7). The common factors are (2) and (7), and the GCD is (2 \times 7 = 14). Therefore, the greatest number that both 42 and 56 are divisible by is 14.


What is the greatest common factor for 14 and 56?

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.


What is the GCD of 14 and 42?

The GCD of 14, 42 is 14.


What is the gcd of 42 and 65?

GCD(42, 65) = 1


What is the GCD for 56 84?

The Greatest Common Divisor (GCD) for 56 84 is 28.


What is the GCD of 105 and 56?

Greatest Common Divisor (GCD) for 105 56 is 7.


What is the gcd of 42 and 63?

GCD: 21


What is the gcd of 28 and 42?

GCD: 14


What is the gcd of 42 and 70?

GCD: 14


What is the gcd of 56 and 24 and 80?

GCD: 8


What is the gcd for 30 and 42?

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