GCF Problem
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- Mom, I want to bake cookies for my friends in school for my birthday tomorrow.
- Wow! That's good. I will help you. How many cookies are you going to bake so I can buy and prepare the ingredients?
- I'm going to make 24 chocolate chip cookies and 42 gingerbread cookies.
- How are you going to divide it to your friends?
- Mmmm! I want to divide the cookies equally so that each container has the same number of each kind of cookies.
- Okay, if you want each container to have the greatest number of cookies possible, how many containers do you need and how many of each kind will you put?
- Mmmm, I need to get the greatest common factor of 24 and 42. If 24 has factors of 2 x 2 x 2 x 3 while 42 has factors of 2 x 3 x 7, therefore, the GCF is 2 x 3 which is equal to 6.
- That means, you need to prepare 6 identical containers. So how many pieces of each kind of cookies are you going to put on each container?
- Easy, 24 divided by 6 equals 4 and 42 divided 6 is 7.
- That means, you have to put 4 chocolate chip cookies and 7 gingerbread cookies in each of the 6 containers to be given to your friends.
- Yes. Thank you, mom.
- Oh, anything for my princess. Happy birthday!!! Now let's start baking.
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