Question

Find the largest number that will divide 398,436,542, leaving remainder 7,11,15 respectively?

Answer 1

Answer:

17

Step-by-step explanation:

398 - 7 = 391

436 - 11 = 425

542 - 15 = 527

we need to find out the HCF of 391, 425 and 527

391 = 17 × 23

425 = 17 × 25

527 = 17 × 31

the HCF of 391, 425 and 527 is 17

therefore the largest number that divides 398, 436 and 542 leaving remainder 7, 11, and 15 respectively is 17

hope you get your answer