Greatest Common Divisor (GCD) of 4 and 42




The Greatest Common Divisor (GCD) of 4 and 42 is the largest positive integer that divides both 4 and 42. Mathematically, the problem we are solving is:

GCD(4,42)

To solve the problem, we will list all the positive integers (divisors) that can be divided into 4 and 42. We will then compare the lists of divisors to find the greatest divisor they have in common.

Divisors of 4:
1, 2, and 4.

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 2. Thus, the Greatest Common Divisor (GCD) of 4 and 42 is:

GCD(4,42) = 2


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Greatest Common Divisor (GCD) of 4 and 43
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