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There cannot be a greatest common denominator. For suppose X were the greatest common denominator. That means X is a multiple of 60 and 25 and that X is the greatest such number.
Consider 2X.
If X is a multiple of 60 and 25 then 2X will certainly be a multiple of the two numbers and 2X will also be greater than X. But that contradicts the proposition that X is the greatest such number.
That contradiction shows that there cannot be a GCD for 60 and 25. The argument can easily be generalised to prove that there cannot be a GCD for any set of numbers.
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∙ 12y ago
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What is the gcd of 125 and 225?
GCD(125, 225) = 25 GCD(125, 225) = 25 GCD(125, 225) = 25 GCD(125, 225) = 25
What is the GCD of 25 and 30?
GCD(25, 30) = 5
What is the gcd of 9 16 and 25?
GCD: 1
What is the GCD of 10.15.25?
Greatest Common Divisor (GCD) for 10 15 25 is 5.
What is the gcd of 36 90 60?
The GCF is 6.
What is the gcd of 125 and 225?
GCD(125, 225) = 25 GCD(125, 225) = 25 GCD(125, 225) = 25 GCD(125, 225) = 25
What is the gcd of 36 and 60?
The GCD of 36, 60 is 12.
What is the gcd for 60 and 231?
GCD: 3
What is the GCD of 25 and 30?
GCD(25, 30) = 5
What is the gcd of 12 and 60?
It is: 60.
What is the GCD of 15 and 25?
GCD: 5
What is the GCD of 125 and 200?
GCD: 25
What is the gcd of 9 16 and 25?
GCD: 1
What is the GCD for 1015 and 25?
Greatest Common Divisor (GCD) for 1015 25 is 5.
What is the gcd of 8 and 25?
Greatest Common Divisor (GCD) for 8 25 is 1.
What is the GCD for 25 and 35?
Greatest Common Divisor (GCD) for 25 35 is 5.
What is the gcd of 45 and 60?
15
