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Find the HCF of 48, 64, and 80.

Practice Questions

Q1
Find the HCF of 48, 64, and 80.
  1. 8
  2. 16
  3. 24
  4. 32

Questions & Step-by-Step Solutions

Find the HCF of 48, 64, and 80.
Correct Answer: 16
  • Step 1: List the factors of each number.
  • Step 2: Find the factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48.
  • Step 3: Find the factors of 64: 1, 2, 4, 8, 16, 32, 64.
  • Step 4: Find the factors of 80: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80.
  • Step 5: Identify the common factors from the lists: 1, 2, 4, 8, 16.
  • Step 6: Determine the largest common factor: 16.
  • Highest Common Factor (HCF) – The HCF is the largest number that divides all given numbers without leaving a remainder.
  • Prime Factorization – Finding the HCF often involves breaking down each number into its prime factors.
  • Divisibility – Understanding which numbers can divide others is crucial for finding the HCF.
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