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What is the greatest common divisor (GCD) of 48 and 18?

Practice Questions

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

Questions & Step-by-Step Solutions

What is the greatest common divisor (GCD) of 48 and 18?
Correct Answer: 6
  • 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 18. The factors are 1, 2, 3, 6, 9, 18.
  • Step 3: Identify the common factors from both lists. The common factors are 1, 2, 3, and 6.
  • Step 4: Find the greatest (largest) common factor. The greatest common factor is 6.
  • Step 5: Therefore, the GCD of 48 and 18 is 6.
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