Greatest Common Divisor (GCD) of 14, 31 and 55

The Greatest Common Divisor (GCD) of 14, 31 and 55 is the largest positive integer that equally divides all three numbers: 14, 31 and 55. Mathematically, the problem we are solving is:

GCD(14,31,55)

To solve the problem, we will list all the positive integers (divisors) that can be divided into 14, 31 and 55. We will then compare the lists of divisors to find the greatest divisor they have in common.

Divisors of 14:
1, 2, 7, and 14.

Divisors of 31:
1 and 31.

Divisors of 55:
1, 5, 11, and 55.

When we compare the lists of divisors above, we see that the largest number they have in common is 1. Thus, the Greatest Common Divisor (GCD) of 14, 31 and 55 is:

GCD(14,31,55) = 1

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Greatest Common Divisor (GCD) of 14, 31 and 56
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