Multiple choice

If there are 8 distinct numbers whose HCF has to be found by the division method, how many steps would be needed in order to find it?

  1. 8

  2. 7

  3. 6

  4. 4

  5. 5
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B Correct answer
Explanation

To find the HCF of n numbers using the division method, you perform the process iteratively. For 8 numbers, you find the HCF of the first two, then the result with the third, and so on. This requires 7 steps.

AI explanation

When finding the highest common factor by the division method for n distinct numbers, you first find the highest common factor of the first two numbers. This result is then divided into the third number, the fourth, and so on, meaning the process always requires n - 1 steps. For 8 distinct numbers, the required number of steps is 8 - 1, which is 7.

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