Question

find the largest positive integer that will divide 398 ,436,542 leaving remainder 7,11,13 ?

Answer 1

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

Answer 2

HELLO DEAR FRIEND

GIVEN NUMBERS = 398 ,436,542

REMAINDERS = 7,11,15

SUBTRACTING EACH

398 - 7.| 436 - 11 | 542 - 15 |

391, 425 , 527

FACTORS OF 391 = 17 × 23

FACTORS OF 425 = 5 × 5 × 17

FACTORS OF 527 = 17 × 31

HERE COMMON FACTOR WILL BE 17

SO, THE REQUIRED NUMBER IS 17 ANS

HOPE IT HELPS YOU DEAR FRIEND THANKS