Greatest common factor and LCM

Question

Joshua is packaging 18 land cards and 12 creature cards to sell at a yard sale. Each package will have the same number of cards, using cards of only one type in a package. What is the greater number of cards he can place in a package. How many packages will there be of each number of cards?1.

1. what different combinations would work for each set of cards?
2. what combinations work for both set of cards?what is this called?
3. what combination will give the greatest number of cards in a package?
4. what is the greatest common factor

Answer 1

Well, there are 30 cards total, so what are the factors of 30?

We can have 30 packages of 1, 15 packages of 2, 10 packages of 3, 6 packages of 5, orrrr 5 packages of 6.

The combinations that work for both sets of cards are sets of 1, 2, 3, or 6. These are the common factors.

Packages of 6 will be the biggest.

The greatest common factor isssssssss 6.