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What is the GCD of 75 and 100?

Updated: 8/19/2019
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13y ago

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25.

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Q: What is the GCD of 75 and 100?
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What is the GCD of 375 and 225?

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What is the greatest common factor of 275 and 375?

Euclid's Algorithm (http://www.cs.berkeley.edu/~vazirani/s99cs170/notes/lec3.pdf). the mod function (or %, as used here) is equal to the remainder of x/y. In this first case, 375 mod 275 = the remainder of 375/275, 375/275 is 1 r100 thus 375%275=100. gcd(375,275) => gcd(275,375%275) = gcd(275,100) =>gcd(100,275%100) = gcd(100,75) => gcd(75,100%75) = gcd(75,25) => gcd(25,75%25) = gcd(25,0) ===> gcd is 25.


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