Question

FIND THE LARGEST NUMBER THAT DIVIDES 1251, 9377 AND 15628 LEAVING REMAINDERS 1, 2, 3 RESPECTIVELY

Answer 1

1251-1 , 9377-2 and 15628-3 do this and fine the LCM of these no.

Answer 2

Answer:

625

Step-by-step explanation:

Subtract 1,2 and 3 from 1251,9377 and 15628 respectively.

1251-1=1250

9377-2=9375

15628-3=15625

take the HCF of 1250, 9375 and 15625

1250= 5×5×5×5×2

9375=5×5×5×5×5×3

15625= 5×5×5×5×5×5×5

HCF = 5×5×5×5

       = 625

∴, the largest number that divides 1251, 9377, 15628 leaving remainder 1,2,3 is 625

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