Question

Find the largest 2-digit number that divides 673, 865and leaves remainder 1 in each case?

Answer 1

first we have to subtract 1 from both numbers and then will compute h.c.f of both the numbers
673-1= 672
865-1= 864
it's h.c.f= 96
check
865÷96
quotient=9
remainder=1
637÷96
quotient is 7
remainder is 1