Greatest Common Divisor (GCD) of 57 and 42

The Greatest Common Divisor (GCD) of 57 and 42 is the largest positive integer that divides both 57 and 42. Mathematically, the problem we are solving is:

GCD(57,42)

To solve the problem, we will list all the positive integers (divisors) that can be divided into 57 and 42. We will then compare the lists of divisors to find the greatest divisor they have in common.

Divisors of 57:
1, 3, 19, and 57.

Divisors of 42:
1, 2, 3, 6, 7, 14, 21, and 42.

When we compare the lists of divisors above, we see that the largest number they have in common is 3. Thus, the Greatest Common Divisor (GCD) of 57 and 42 is:

GCD(57,42) = 3

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Greatest Common Divisor (GCD) of 57 and 43
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