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An activity is planned for two different weekwends. For the first weekend 1575 children has registered to participate. For the second weekend 1485 students have signed up. This activity requires large teams that msut all be the same size. What is the largest possile number of people on a team if team sizes are to be same on both weekends?

 Apr 29, 2021
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The largest possible size is just the GCF of the two numbers:

 

1575 = 32 * 52 * 7

1485 = 33 * 5 * 11

GCF = 32 * 5

         =  45

 

Therefore, the maximum team size is 45 people.

 Apr 29, 2021

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