Question

find the greatest number which will divided 122,166 and 237 so as to leave 7,5 and 7as the remainder respectively

Answer 1

first subtract the following remainders from their respective numbers given in the ques then take the HCF of the obtained new numbers that will be the answer

Answer 2

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