<|im_start|>system
You are a helpful assistant. You first think about the reasoning process in the mind and then provide the user with the answer. You should try to truely solve the question by yourself without cheating.  <|im_end|>
<|im_start|>user
 In a school, there are 2016 boys and 1284 girls, and they are to be divided into equal sections of either boys or girls alone. Each section must have a minimum of 80 boys or 60 girls. Determine the maximum total number of sections that can be formed, while meeting the minimum requirements for the number of boys and girls per section. Show your work in <think> </think> tags. And return the final answer in <answer> </answer> tags.<|im_end|>
<|im_start|>assistant
Let me solve this step by step.
<think>
user
46
In a school, there are 2016 boys and 1284 girls, and they are to be divided into equal sections of either boys or girls alone. Each section must have a minimum of 80 boys or 60 girls. Determine the maximum total number of sections that can be formed, while meeting the minimum requirements for the number of boys and girls per section.
test