Which of the following is the greatest common divisor (GCD) of 48 and 180?

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Question: Which of the following is the greatest common divisor (GCD) of 48 and 180?

Options:

Correct Answer: 12

Solution:

The GCD of 48 and 180 is 12, as it is the largest number that divides both without a remainder.

Which of the following is the greatest common divisor (GCD) of 48 and 180?

Which of the following is the greatest common divisor (GCD) of 48 and 180?

Step 1: List the factors of 48. The factors are 1, 2, 3, 4, 6, 8, 12, 16, 24, and 48.
Step 2: List the factors of 180. The factors are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, and 180.
Step 3: Identify the common factors of 48 and 180. The common factors are 1, 2, 3, 4, 6, 12.
Step 4: Find the largest number in the common factors. The largest common factor is 12.
Step 5: Conclude that the greatest common divisor (GCD) of 48 and 180 is 12.

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