Answer:
The Greatest Common Divisor (GCD) of 32, 56 and 72 is the largest positive integer that equally divides all three numbers: 32, 56 and 72. Mathematically, the problem we are solving is:
GCD(32,56,72)
To solve the problem, we will list all the positive integers (divisors) that can be divided into 32, 56 and 72. We will then compare the lists of divisors to find the greatest divisor they have in common.
Divisors of 32:
1, 2, 4, 8, 16, and 32.
Divisors of 56:
1, 2, 4, 7, 8, 14, 28, and 56.
Divisors of 72:
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72.
When we compare the lists of divisors above, we see that the largest number they have in common is 8. Thus, the Greatest Common Divisor (GCD) of 32, 56 and 72 is:
GCD(32,56,72) = 8
