Question

Find the greatest number that will divide 197 and 269 and leaves 5 as remainder in each
case.
1) 12
2) 24
3) 36
4) 48​

Answer 1

Answer:

option 2) 24

Step-by-step explanation:

For the number to leave a remainder 5 , subtract both of them with 5

=> 197 - 5 = 192

269 - 5 = 264

now find the highest common factor of 192 and 264

192 = 2^6 × 3

264 = 2^3 × 3 × 11

HCF = 2^3 × 3 × 1

= 24

Hence 24 is the greatest number that will divide 197 and 269 leaving a remainder of 5 each