The largest number that can divide 147, 183 and 271 leaving remainders 11,13 and 16, respectively, is:
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e. 17.
Let the required number be x
147 leaves remainder 11 ⇒ 147 − 11 = 136
183 leaves remainder 13 ⇒ 183 − 13 = 170
271 leaves remainder 16 ⇒ 271 − 16 = 255
Now, HCF(136, 170, 255) = 17