Greatest Common Divisor (GCD) of 8, 13 and 14




The Greatest Common Divisor (GCD) of 8, 13 and 14 is the largest positive integer that equally divides all three numbers: 8, 13 and 14. Mathematically, the problem we are solving is:

GCD(8,13,14)

To solve the problem, we will list all the positive integers (divisors) that can be divided into 8, 13 and 14. We will then compare the lists of divisors to find the greatest divisor they have in common.

Divisors of 8:
1, 2, 4, and 8.

Divisors of 13:
1 and 13.

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

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 8, 13 and 14 is:

GCD(8,13,14) = 1


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Greatest Common Divisor (GCD) of 8, 13 and 15
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