Question

Find The Greatest Number Which Will Divide 122 166And 237 So As To Leave 7 5 And 7 As The Remainder Respectively

Answer 1

Given number - 166 and 237

Remainder = 5 and 7 respectively

Now,  

166 - 5 = 161 = 7 * 23

237 - 7 = 230 = 5 * 2 * 23

H. C. F. = 23

Hence, the number is 23