The Greatest Common Divisor (GCD) of 8, 12 and 48 is the largest positive integer that equally divides all three numbers: 8, 12 and 48. Mathematically, the problem we are solving is:
GCD(8,12,48)
To solve the problem, we will list all the positive integers (divisors) that can be divided into 8, 12 and 48. We will then compare the lists of divisors to find the greatest divisor they have in common.
Divisors of 8:
1, 2, 4, and 8.
Divisors of 12:
1, 2, 3, 4, 6, and 12.
Divisors of 48:
1, 2, 3, 4, 6, 8, 12, 16, 24, and 48.
When we compare the lists of divisors above, we see that the largest number they have in common is 4. Thus, the Greatest Common Divisor (GCD) of 8, 12 and 48 is:
GCD(8,12,48) = 4
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Greatest Common Divisor (GCD) of 8, 12 and 49
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