Q: What is the GCD of 75x3y2and 100xy?

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25x

The GCF is 25xy.

It appears to be 25xy

The GCF is 25xy

The Greatest Common Divisor (GCD) for 504 132 is 12

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GCF(75x3, y2, 100xy) = 1 However, GCF(75x3y2, 100xy) = 25xy

75x(3y)2 and 100xy both have factors of * * * * * It would appear that the question is looking for the GCF of 75x3, y2 and 100xy. If that is the case, the answer is 1.

25xy

25x

The GCF is 25xy.

4xy

25xy

25xy

It appears to be 25xy

The GCF is 25xy

GCD(125, 225) = 25 GCD(125, 225) = 25 GCD(125, 225) = 25 GCD(125, 225) = 25

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>=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.