Question

Find the largest no. Which divides 320 and 457 leaving remainders 5 and 7 respectively

Answer 1

hey mate!!

for finding the largest number,first we need to subtract 5 and 7 from 320 and 457 respectively
so, 320-5=315
and 457-7=450

now, we need to find the HCF
by prime factorisation
315=3*3*5*7
450=2*3*3*5*5

HCF of 315 and 450=3*5=15

thus the largest which divides 320 and 457 leaving remainders 5 and 7 respectively is 15

hope it helped!!