Question

find the largest number which divides 287,359,and 398 leaving remainder 7,9 and 13 respectively ​

Answer 1

Answer:

Step-by-step explanation:

I taught a similar problem to the students in my class this morning!

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