Question

Find the largest number that divides 1251 , 9377and 15628 leaving remainder 1,2 and 3 respectively.

Answer 1

Firstly, subtract the remainders from the number .so,
1251 -1=1250;
9377-2=9375;
15628-3=15625

Then H.C.F of -
1250=5*5*5*5*2
9375=5*5*5*5*5*3
15625=5*5*5*5*5*5

so, H.C.F(1250,9375,15625)=5*5*5*5=625

Therefore, largest no. that divides 1257,9377,15628 is 625.

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Answer 2

Answer:

625

Step-by-step explanation:

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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