9. The teacher at the kindergarten brought 55 apples, 114 cookies, and 83 chocolates to the class. After distributing them evenly, there were 3 apples, 10 cookies, and 5 chocolates left. What is the maximum number of children in the class?
【Answer】 26
【Analysis】The apples were distributed as $55-3=52$ (apples), the cookies as $114-10=104$ (cookies), and the chocolates as $83-5=78$ (chocolates). Since these items were evenly distributed among each student, the total number of each item divided by the number of students should have no remainder. Therefore, the number of students must be a common factor of the total number of each item distributed. The greatest common factor of 52, 104, and 78 is 26, so the class can have at most 26 students.

【Key Concept】Multiple and Factor Problem