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The greatest number will divide 3026 and 5053 leaving remainders 11 and 13 respectively?

A. 15

B. 30

C. 40

D. 60

Answer: Option A

Solution(By Examveda Team)

Required Number can be given by:
HCF of (3026 - 11) and (5053 - 13)
HCF of 3015 and 5040 = 15
To find HCF, we break the given numbers in their prime Factors
3015 = 3 × 3 × 5 × 67
5040 = 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7
We take common multiples in these two given numbers to get required HCF
And Common multiples are: 3 × 5
So, Required HCF = 15

This Question Belongs to Arithmetic Ability >> Number System

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Comments ( 2 )

  1. SUMANSEKHAR RATHA
    SUMANSEKHAR RATHA :
    3 years ago

    If u going through division method then in last step getting 45 ÷990 how can we solve from now ??? To get hcf by division method

  2. Sangram Rout
    Sangram Rout :
    5 years ago

    Hi,kindly chk d common factor and rectify ur answer.answer will be 45 bcoz common factor here is 3*3*5=45

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