a number between 1 and 100. If it is divided by 3 or 5, remainder is 1. If it is divided by 7, there is no remainder: what is my member?

well, what is divisible by 7

7,14,21,28,35,42,49,56,63,70,77,84,91, 98
divide those by 5, which have remainder of 1?
21, 56 , 91
divide by 3, which have remainder of 1?
91