Multiple choice

The greatest number that divides 57 and 107 leaving remainder 7 in each case is:

  1. 10

  2. 25

  3. 50

  4. 100

  5. 150
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C Correct answer
Explanation

The number must divide (57-7) = 50 and (107-7) = 100. The greatest common divisor of 50 and 100 is 50.

AI explanation

Using the greatest common divisor method with remainders, we subtract 7 from both numbers to get 50 and 100. We then find the highest number that divides both 50 and 100, which is the highest common factor of 50 and 100. The greatest common factor of 50 and 100 is 50, so 50 is the required divisor.

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