Brandy has a card collection with 64 basketball cards 32 football cards and 20 for baseball cards he wants to arrange the cards and equal piles with only one type of card in each pile how many cards can he put in each pile?
I'd suggest 4, since it is the greatest common factor of 20,32,64
To determine the number of cards Brandy can put in each pile, we need to find the greatest common divisor (GCD) of the three numbers: 64, 32, and 20.
One way to find the GCD is to list the factors of each number and find the largest number that divides evenly into all three. Let's do that:
Factors of 64: 1, 2, 4, 8, 16, 32, 64
Factors of 32: 1, 2, 4, 8, 16, 32
Factors of 20: 1, 2, 4, 5, 10, 20
From the lists, it's evident that the greatest common divisor of 64, 32, and 20 is 4. Therefore, Brandy can put 4 cards in each pile.