Introduction
Hello Greatest Common Divisor Finders,
Introduction
Today, we are going to be learning about finding the greatest common factor out of two different numbers.
Why are we learning that? you may ask me....
Well, over the summer I am sure many of you went to a barbeque!
Yes!......Well, that's great!
At your friend's barbeque I am sure, there were lots of juicy, plump, mouth watering foods like.....hamburgers!
Yes, yummy!
What would you do if....
Ten minutes after you arrive, your host asks you to do them a favor and run to the store and buy more hamburgers and buns because they they were running out!
They said to please....go to Smart-Shop Supermarket, and buy as many hamburgers and buns as you can. They said just make sure its the same amount of hamburgers and buns!
Hurry back quick!
You want to help your friends out right?
So, let's go to the store.....
Smart Shop Supermarket
The hamburgers are sold 12 hamburgers to one box.
The buns are sold 9 buns to one box.
How would you figure out how many boxes of hamburgers to buy?
At the same time, you need to figure out how many packages of hamburger buns to buy?
Could this possibly happen?
What would you do?
This is one of the reasons why it is good to know how to find the greatest common factor of two different numbers?!
Please view this video from Khan Academy. It will explain how to find the GCD or Greatest Common Divisor also known as GCF or Greatest Common Factor.
https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-factors-and…
Task
Now that you have watched the video of how to find the greatest common factor!
Let's review some key terms and definitions that are used in finding the GCD or GCF:
- Factor is a number that can be evenly divided into another number.
- Prime Number is a number that can be evenly divided only by 1 or itself .
- Divisor is a number that divides into another without a remainder.
- Factorization is finding the factors of a number that are all prime.
The Greatest Common Factor (GCF) or Greatest Common Divisor (GCD) is the highest number that divides exactly into two or more numbers.
To find the Greatest Common Factor (GCF) or Greatest Common Divisor (GCD) of two numbers we must first list those prime factors of each number and multiply those factors both numbers have in common.
Let''s try to do the Greatest Common Factor (GCD) Exercise!
https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-factors-and…
Process
Now that you have watched the video and practiced with problems finding the Greatest Common Factor (GCF) or Greatest Common Divisor (GCD).
Lets practice and solve some problems to find the greatest common factor.
If you get 5 questions correct in a row.....you will complete the level.
https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-factors-and…
Evaluation
Please follow the link to the Rubric!
C:\Users\Cynthia\Downloads\Your Rubric - Burger Run.html
Conclusion
Thank you for your participation in the Burger Run!
To recap our story......
We have learned how to find the Greatest Common Divisor (GCD) or Greatest Common Factor (GCF) to become fluent in finding the greatest common factors of two different numbers.
The Greatest Common Factor is finding the highest number that divides exactly into two or more numbers. To find the greatest common factor of 2 numbers first we list the prime factors of each number and then we multiply those factors both numbers have in common.
Let's solve the problem in the Introduction.
Smart Shop Supermarket
The hamburgers are sold 12 hamburgers to one box.
The buns are sold 9 buns to one box.
How would you figure out how many boxes of hamburgers to buy?
At the same time, you need to figure out how many packages of hamburger buns to buy?
Could this possibly happen?
Yes!
The factors of 12 are (1, 12, 2, 6, 3, 4, 6,2)
The factors of 9 are (1, 3, 9,)
The greatest common factor of (12, 9) is (3)
You would need to buy 3 boxes of hamburgers.
You would need to buy 4 packages of buns.
In order to have the common number of 36 hamburgers and 36 buns.
Credits
Teacher Page
I would like to thank Khan Academy for the use of their interactive
program and exercises.
https://www.khanacademy.org