Question

find the largest number that divides 245 and 1029 leaving remainder 5 in each case

Answer 1

HI

aim :to find the largest number that divides 245 and 1029 leaving remainder 5 in each case
=>245 - 5 = 240

=>1029  - 5 = 1024

so the numebrs are 240 and 1024

=> now hcf of 240 and 1024

=>240 = (2×2×2×2)×3×5

1024 = (2×2×2×2)×2×2×2×2×2×2

hcf = 16

hence 16 is the the largest number that divides 245 and 1029 leaving remainder 5 in each case

hope it helps u

:)