Question

Find the greatest number that divides 226 and 311 leaving a remainder of 5 each case

Answer 1

Answer:

17

Step-by-step explanation:

Let x be the number that divides 226 and 311 leaving remainder of 5.

As per the question, if the number are divided,

226 – 5 = 221

311 – 5 = 306

Now, factorise both the number

221 = 17 * 13

306 = 17 * 3 * 3 * 2

HCF = 17

Hence, the answer is 17