The greatest common denominator (GCD) refers to a denominator that is COMMON to two or more numbers. You have only one number in the question! The greatest denominator of any number is itself.
The GCD of 14, 42 is 14.
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.
GCD(14, 34) = 2GCD(14, 34) = 2GCD(14, 34) = 2GCD(14, 34) = 2
GCD: 14
GCD: 14
The Greatest Common Divisor (GCD) for 12 14 is 2
The GCF is 2.
Greatest Common Divisor (GCD) for 8 30 14 is 2.
GCD(4, 5) = 1.
The Greatest Common Divisor (GCD) for 45 10 is 5
Greatest Common Divisor (GCD) for 14 16 30 is 2.
GCD: 4