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What is the HCF of 14, 28, and 42?

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Question: What is the HCF of 14, 28, and 42?

Options:

  1. 14
  2. 7
  3. 28
  4. 21

Correct Answer: 14

Solution: 

The HCF of 14, 28, and 42 is 14, as it is the largest number that divides all three.

What is the HCF of 14, 28, and 42?

Practice Questions

Q1
What is the HCF of 14, 28, and 42?
  1. 14
  2. 7
  3. 28
  4. 21

Questions & Step-by-Step Solutions

What is the HCF of 14, 28, and 42?
Correct Answer: 14
  • Step 1: List the numbers we want to find the HCF for: 14, 28, and 42.
  • Step 2: Find the factors of each number.
  • Step 3: The factors of 14 are: 1, 2, 7, 14.
  • Step 4: The factors of 28 are: 1, 2, 4, 7, 14, 28.
  • Step 5: The factors of 42 are: 1, 2, 3, 6, 7, 14, 21, 42.
  • Step 6: Identify the common factors from all three lists: 1, 2, 7, 14.
  • Step 7: The largest common factor is 14.
  • Step 8: Therefore, the HCF of 14, 28, and 42 is 14.
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