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Find the H.C.F. of 64 and 48.

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Question: Find the H.C.F. of 64 and 48.

Options:

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

Correct Answer: 16

Solution:

The H.C.F. of 64 and 48 is 16.

Find the H.C.F. of 64 and 48.

Practice Questions

Q1
Find the H.C.F. of 64 and 48.
  1. 16
  2. 8
  3. 32
  4. 24

Questions & Step-by-Step Solutions

Find the H.C.F. of 64 and 48.
  • Step 1: List the factors of 64. The factors are 1, 2, 4, 8, 16, 32, 64.
  • Step 2: List the factors of 48. The factors are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48.
  • Step 3: Identify the common factors from both lists. The common factors are 1, 2, 4, 8, 16.
  • Step 4: Find the highest common factor (H.C.F) from the common factors. The highest common factor is 16.
  • Highest Common Factor (H.C.F.) – The H.C.F. is the largest number that divides two or more numbers without leaving a remainder.
  • Prime Factorization – Finding the H.C.F. often involves breaking down numbers into their prime factors.
  • Division Method – Another method to find the H.C.F. is using the division method, which involves dividing the larger number by the smaller number and finding the remainder.
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