Question

Find the largest no. that will divide 399 , 436, 542 leaving remainder 7,11and 15

Answer 1

1 number =399 - 7=392
2 number =436 - 11=425
3 number =542 - 15=527
Finding the H. C. F. Of all 3 numbers

Hope it helps you

Answer 2

Given :-

398 , 436 and 542

To Find :-

The largest number

Solution :-

Let’s assume the integer is x

According to the condition given in the question

⇒ xy+7 = 398

⇒  xz+11 = 436

⇒  xk+15 = 542

⇒ xy =391

⇒  xz = 425

⇒  xk = 527

⇒  17 × 23 = 391

⇒  17 × 25 = 425

⇒ 17 × 31 = 527

So, the largest possible integer that will divide 398,436,542 & leaves reminder 7,11 and 15 respectively was 17.