Question

9. Find the largest number that will divide 731, 1132 and 1822 leaving remainders 9, 11 an
17, respectively.
Hint: Find the HCF of 731-9, 1132 -11 and 1822 - 17​

Answer 1

Hi here is your answer....

We need to find the largest number that will divide 398, 436 and 542 leaving remainders 7, 11 and 15 respectively. Hence, we need to find the HCF of 3 numbers (398-7), (436-11) and (542-15).

Hence, 

398 - 7 = 391

436 - 11 = 425

542 - 15 = 527

Now, you can find the hcf(391, 425, 527) = 17

Hence, the largest number that will divide 398,436 and 542 leaving remainders 7, 11 and 15 respectively is 17.

Hope this helps you.....

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