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

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

Options:

  1. 6
  2. 12
  3. 24
  4. 36

Correct Answer: 12

Solution: 

The GCD of 48 and 180 is 12.

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

Practice Questions

Q1
What is the greatest common divisor (GCD) of 48 and 180?
  1. 6
  2. 12
  3. 24
  4. 36

Questions & Step-by-Step Solutions

What is the greatest common divisor (GCD) of 48 and 180?
Correct Answer: 12
  • Step 1: List the factors of 48. The factors are 1, 2, 3, 4, 6, 8, 12, 16, 24, 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, 180.
  • Step 3: Identify the common factors from both lists. The common factors are 1, 2, 3, 4, 6, 12.
  • Step 4: Find the greatest common factor from the common factors. The greatest common factor is 12.
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