R

Ruchi Sharma • 9.87K Points
Tutor III Math

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

  • (A) 107
  • (B) 101
  • (C) 111
  • (D) 185
  • Correct Answer - Option(C)
  • Views: 1101
  • Filed under category Math
Explanation by: Mr. Dubey
Let the numbers be 37a and 37b
Then, 37a x 37b = 4107
⇒ ab = 3
Now, co-primes with product 3 are (1, 3)
So, the required numbers are (37 x 1, 37 x 3) i.e., (37, 111)
so Greater number = 111

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