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Find the HCF of 48, 64, and 80.

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Question: Find the HCF of 48, 64, and 80.

Options:

  1. 8
  2. 16
  3. 24
  4. 32

Correct Answer: 16

Solution: 

The HCF of 48, 64, and 80 is 16, as it is the largest number that divides all three.

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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