Question

4. Find the largest number which divides 320 and 457, leaving remainder 5 and 7
respectively .​

Answer 1

Answer:

The largest number which divides 320 and 457 leaving remainders5 and 7 respectively

= HCF of (320−5) and (457−7)

= HCF of 315 and 450

450=315×1+135

315=135×2+45

135=45×3+0

∴ HCF of 450 and 315 is 45.

So, the largest number which divides 320 and 457 leaving remainders 5 and 7 respectively is 45.

Answer 2

Answer:

as their is given largest we will find H.C.F

leaving remainder 5 and 7 so

320+5 = 325

457+7 = 464

hcf of 325 and 464 is 16

so answer will be 16