Find The Greatest number ?

Find the greatest number that will divide 400, 435 and 541 leaving 9, 10 and 14 as remainders respectively.

  1. 13
  2. 19
  3. 17
  4. 9
Anurag Mishra Professor Asked on 23rd September 2015 in Maths.
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  • 1 Answer(s)

    Answer: (3) 17

    Explanation:-
    Then, the new numbers are 400 – 9 = 391, 435 – 10 = 425 and 541 – 14 = 527

    The factors of 391 = 17 x 23
    The factors of 425 = 5 x 5 x 17
    The factors of 527 = 17 x 31

    Then, the H C F of 391, 425 and 527 = 17

    17 is the greatest number that will divide 400, 435 and 541 leaving remainder9, 10 and 14 as remainders respectively.

    Hence, the answer is (3) 17.

    Anurag Mishra Professor Answered on 23rd September 2015.
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