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

Practice Questions

Q1
Which of the following is the greatest common divisor (GCD) of 48 and 180?
  1. 12
  2. 24
  3. 6
  4. 18

Questions & Step-by-Step Solutions

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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