What will be the Greatest Number? If

The greatest number by which 2300 and 3500 are divided leaving the remainders of 32 and 56 respectively, is:

  1. 136
  2. 168
  3. 42
  4. 84
Monis Rasool Professor Asked on 28th June 2015 in Maths.
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  • 1 Answer(s)

    Answer: (4) 84
    Explanation:-

    Numbers are = 2300   and 3500
    Remainders = 32 and 56
    New numbers = 2300 – 32 = 2268   and 3500 – 56 = 3444
    The HCF of 2268 and 3444
    Factors of 2268 = 2 x 2 x 3 x 3 x 3 x 3 x 7
    Factors of 3444 = 2 x 2 x 3 x 7 x 41
    HCF = 2 x 2 x 3 x 7 = 84

    Hence, the answer is (4) 84.

    Anurag Mishra Professor Answered on 28th June 2015.
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