Question

Find the largest number that will divide 546,437 , and 400 leaving remainders 19 ,12 ,and 9 respecting.

Answer 1

Given numbers,

546,437 and 400

546 leaves remainder 19.
546-19=527

437 leaves remainder 12.
437-12=425

400 leaves remainder 9.
400-9=391

Find hcf of 527,425 and 391.

Using Euclid division lemma :-
a=bq+r

527=425(1)+102
425=102(4)+17
102=17(6)+0
hcf of 527 and 425 is 17.

Now find the hcf of 17 and 391
391=17(23)+0
hcf if 391 and 17 is 17.

Therefore, hcf if 527,425 and 391 is 17.

The required largest number is 17.

hope it helps..

Answer 2

Hope this helps you...