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If two numbers are 18 and 24, what is their HCF? (2023)

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Question: If two numbers are 18 and 24, what is their HCF? (2023)

Options:

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

Correct Answer: 12

Exam Year: 2023

Solution: 

The HCF of 18 and 24 is 6, as it is the largest number that divides both.

If two numbers are 18 and 24, what is their HCF? (2023)

Practice Questions

Q1
If two numbers are 18 and 24, what is their HCF? (2023)
  1. 6
  2. 12
  3. 18
  4. 3

Questions & Step-by-Step Solutions

If two numbers are 18 and 24, what is their HCF? (2023)
  • Step 1: List the factors of 18. The factors are 1, 2, 3, 6, 9, and 18.
  • Step 2: List the factors of 24. The factors are 1, 2, 3, 4, 6, 8, 12, and 24.
  • Step 3: Identify the common factors from both lists. The common factors are 1, 2, 3, and 6.
  • Step 4: Find the largest common factor. The largest common factor is 6.
  • Step 5: Conclude that the HCF of 18 and 24 is 6.
  • Highest Common Factor (HCF) – The HCF is the largest number that divides two or more numbers without leaving a remainder.
  • Prime Factorization – Finding the HCF can involve breaking down numbers into their prime factors.
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