In a vaccination site, a meeting is being held to allocate the number of doctors and the number of people needed for tomorrow’s schedule of vaccination. There are 3 doctors assigned for each group of people. During that day, the team scheduled 24 people from the A4 class, 30 people from the A3 class and 42 people from the A1 class.

What is the greatest number of groups that can be formed such that each group have the same number of people from each class?

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