Question

Find the largest no . Which divides 2053 and 965 and leaves remainder 5 and 7 in each case respectively .

Answer 1

2053-5=2048
965-7=958
largest no will be hcf of 2048 and 958
2048=2*2*2*2*2*2*2*2*2*2
958=2*479
hcf=2
largest no.=2

Answer 2

2053 - 5 = 2048
965 - 7 = 958
Find the HCF of 2048 and 958

The HCF = 2

The largest number which divides 2053 and 965 leaving remainder 5 and 7 respectively is 2