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The product of two numbers is 4107. If the H.C.F of these numbers is 37, then the greater number is_________?

Correct answer: C. 111

  • A. 101
  • B. 107
  • C. 111
  • D. 185

Explanation

Write the numbers as 37a and 37b because their H.C.F. is 37. Then ab = 4107/(37 x 37) = 3, so the co-prime factors are 1 and 3, giving numbers 37 and 111. The greater number is therefore 111. The likely error is choosing 107 by dividing 4107 incorrectly by 37.

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