Greatest Common Divisor (GCD) of 6 and 53

The Greatest Common Divisor (GCD) of 6 and 53 is the largest positive integer that divides both 6 and 53. Mathematically, the problem we are solving is:

GCD(6,53)

To solve the problem, we will list all the positive integers (divisors) that can be divided into 6 and 53. We will then compare the lists of divisors to find the greatest divisor they have in common.

Divisors of 6:
1, 2, 3, and 6.

Divisors of 53:
1 and 53.

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 6 and 53 is:

GCD(6,53) = 1

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Greatest Common Divisor (GCD) of 6 and 54
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