Question

The greatest number which when subtracted from 5834 gives a number exactly divisible by each of 20283235 is.

Answer 1

Answer:

Step-by-step explanation:

factors of 20,28,32 and 35 are

20=2^2*5

28=2^2*7

32=2^5

35=5*7

So LCM(20,28,32,32)=2^5*5*7

=32*5*7=1120

now applying division lemma on 5834 and 1120

5834=1120*5+232

=-1120+1120*4+232

=1120+4712

5834-1120=4712

so 4712 the greatest no can be subtracted from 5834 to leave number divisible by 20,28,32 and 35