The Greatest Common Divisor (GCD) of 3, 6 and 16 is the largest positive integer that equally divides all three numbers: 3, 6 and 16. Mathematically, the problem we are solving is:
GCD(3,6,16)
To solve the problem, we will list all the positive integers (divisors) that can be divided into 3, 6 and 16. 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 16:
1, 2, 4, 8, and 16.
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 16 is:
GCD(3,6,16) = 1
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Greatest Common Divisor (GCD) of 3, 6 and 17
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