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Greatest Common Divisor (GCD) of 3, 6 and 17




The Greatest Common Divisor (GCD) of 3, 6 and 17 is the largest positive integer that equally divides all three numbers: 3, 6 and 17. Mathematically, the problem we are solving is:

GCD(3,6,17)

To solve the problem, we will list all the positive integers (divisors) that can be divided into 3, 6 and 17. We will then compare the lists of divisors to find the greatest divisor they have in common.

Divisors of 3:
1 and 3.

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

Divisors of 17:
1 and 17.

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 3, 6 and 17 is:

GCD(3,6,17) = 1


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Greatest Common Divisor (GCD) of 3, 6 and 18
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