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Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case.

A. 4

B. 7

C. 9

D. 13

Answer: Option A

Solution(By Examveda Team)

Required number
= H.C.F. of (91 - 43), (183 - 91) and (183 - 43)
= H.C.F. of 48, 92 and 140 = 4.

This Question Belongs to Arithmetic Ability >> Problems On H.C.F And L.C.M

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Comments ( 6 )

  1. Ishtiaq Ahmed
    Ishtiaq Ahmed :
    2 years ago

    Nice

  2. Bhojraj Rimal
    Bhojraj Rimal :
    2 years ago

    Can you please briefly explain it

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  3. Vinod Mvijayan
    Vinod Mvijayan :
    3 years ago

    To find the greatest number that will divide x, y and z leaving the same remainder in each case. (A) When the value of remainder r is given:
    Required number = H.C.F. of (x – r), (y – r) and (z – r).
    (B) When the value of remainder is not given:
    Required number = H.C.F. of |(x – y)|, |(y – z)| and |(z – x)|

  4. Kumari Puja
    Kumari Puja :
    4 years ago

    Please visit to Academic wala youtube Channel.there you find all your answers with perfect concept.

  5. Vagdevi Devi
    Vagdevi Devi :
    5 years ago

    Why do you subtract only 43 from other numbers???

  6. Vikram M
    Vikram M :
    6 years ago

    Can you please briefly explain it

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