9.【Solution】This number, when dividing $300$ and $262$, yields the same remainder, so this number divides $300 - 262 = 38$. Similarly, this number divides $262 - 205 = 57$, therefore, it is a common divisor of $38$ and $57$, which is 19.
9. There is an integer, when divided by 300, 262, and 205, it yields the same remainder. What is this integer?