Question

The largest number that will divide 398,436 and 542 leaving remainders 7,11 and 15 respectively is​

Answer 1

Answer:

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Step-by-step explanation:

First deduct the remainders from each term

398 - 7 =391

436–11 = 425

542–15 =527

Next find the HCF of the terms that you get

391 = 17x23

425 = 5x5x17

527 = 17x31

The HCF is 17.

The answer is the HCF or 17.

Check 398/17 = 23 + 7 remainder

436/17 = 25 + 11 remainder

542/17 = 31 + 15 remainder