It is not possible to give a sensible answer to this question. The greatest common denominator refers to a factor that is COMMON to two or more numbers. You have only one number in the question!
Furthermore, there cannot really be such a thing as a "greatest common denominator." Once you find the least common multiple of a set of numbers, you can keep adding the GCD to itself over and over again. Each new number you get will be a common denominator of your set of numbers, but each new number will always be larger than the previous. This means that you can keep adding while the number approaches infinity and you will still never find a greatestmultiple.
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.
GCD: 4
GCD: 2
GCD: 1
GCD: 75
GCD: 648
GCD: 3
GCD: 5
GCD: 5
GCD: 1
GCD: 3