Question

Find the largest number which divides 226 and 311 leaving a reminder of 5 in each case

Answer 1

Answer:

hello friend,

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