Question

Find the largest number which divides 705 and 1053leaving remainder 9in each case

Answer 1

705-9=696
1053-9=1044
largest no is hcf (696,1044)
696=2*2*2*87
1044=2*2*3*87
hcf=2*87
=174
so largest number is=174

Answer 2

705 - 9 = 696
1053 - 9 = 1044
Find the HCF of 1044 and 696

The HCF = 348

The largest number which divides 1044 and 696 leaving remainder 9in each case is 348