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Find the HCF of 60, 72, and 90.

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Question: Find the HCF of 60, 72, and 90.

Options:

  1. 6
  2. 12
  3. 18
  4. 30

Correct Answer: 12

Solution: 

The HCF of 60, 72, and 90 is 18, as it is the largest number that divides all three.

Find the HCF of 60, 72, and 90.

Practice Questions

Q1
Find the HCF of 60, 72, and 90.
  1. 6
  2. 12
  3. 18
  4. 30

Questions & Step-by-Step Solutions

Find the HCF of 60, 72, and 90.
  • Step 1: List the factors of each number.
  • Factors of 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
  • Factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
  • Factors of 90: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
  • Step 2: Identify the common factors from the lists.
  • Common factors: 1, 2, 3, 6, 9, 18
  • Step 3: Find the largest common factor.
  • The largest common factor is 18.
  • Step 4: Conclude that the HCF of 60, 72, and 90 is 18.
  • Highest Common Factor (HCF) – The HCF is the largest positive integer that divides each of the given numbers without leaving a remainder.
  • Prime Factorization – Finding the HCF often involves breaking down each number into its prime factors and identifying the common factors.
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