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# What is the GCD of 105 and 56?

Updated: 9/22/2023

Wiki User

11y ago

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

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11y ago

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Q: What is the GCD of 105 and 56?
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### What is the GCD of 105 and 63?

The Greatest Common Divisor/Denominator is 21

### What is the GCD for 56 84?

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

### What is the GCD of 42 and 56?

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

GCD: 8

### What is the gcd of 24 56 72?

Greatest Common Divisor (GCD) for 24 56 72 is 8.

### What is the GCD of 24 and 56?

56=2*2*2*724=2*2*2*32*2*2=8=GCD

### What is Euclid's Algorithm?

Euclid's algorithm is a popular algorithm to compute the GCD of two numbers. Algorithm: Gcd(a,b) = Gcd(b, a mod b), where a&gt;=b and Gcd(a,0) = a Say we want to find the GCD of 72 and 105. 105 mod 72 = 33, so GCD(72,105) = GCD(33,72) 72 mod 33 = 6, so GCD(33,72) = GCD(6,33) 33 mod 6 = 3 so GCD(6,33) = GCD(3,6) 6 mod 3 = 0 so GCD(3,6) = GCD(0,3) = 3. So the GCD of 72 and 105 is 3.

8

The GCF is 8.

7

### What is GCD of 56 and 70?

280 56 * 5 = 280 70 * 4 = 280

### 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.