Question

What is the greatest number by which if 1023 and 750 be divided 3 and 2 are left as remainders

Answer 1

The greatest number by which if 1023 and 750 be divided 3 and 2 are left as remainders is 68.

Answer 2

Solution:-

1023 - 3 = 1020
750 - 2 = 748

1020 = 2*2*3*5*17
748= 2*2*11*17

H.C.F. of 1020 and 748 
= 2*2*17
= 68

So, 68 is the greatest number by which if 1023 and 750 are both divided then we will get 3 and 2 as remainders respectively.