Greatest Common Divisor (GCD) of 6 and 34




The Greatest Common Divisor (GCD) of 6 and 34 is the largest positive integer that divides both 6 and 34. Mathematically, the problem we are solving is:

GCD(6,34)

To solve the problem, we will list all the positive integers (divisors) that can be divided into 6 and 34. 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 34:
1, 2, 17, and 34.

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 6 and 34 is:

GCD(6,34) = 2


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Greatest Common Divisor (GCD) of 6 and 35
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