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GCF (Greatest Common Factor) Standard: check 0706.1.1

GCF (Greatest Common Factor) Standard: check 0706.1.1. Created by Penelope Rogers. First lets review a common factor. A common factor is when two or more numbers have the same numbers as factors. Example: Factors of 12 and 30 Factors of 12 are 1, 2, 3, 4, 6 and 12

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GCF (Greatest Common Factor) Standard: check 0706.1.1

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  1. GCF(Greatest Common Factor)Standard: check 0706.1.1 Created by Penelope Rogers

  2. First lets review a common factor • A common factor is when two or more numbers have the same numbers as factors. • Example: Factors of 12 and 30 • Factors of 12 are 1, 2, 3, 4, 6 and 12 • Factors of 30 are 1, 2, 3, 5, 6, 10, 15 and 30 • What are ALL the common factors?

  3. Common Factors of 12 and 30 • 1, 2, 3, 6 • These four numbers are all factors of both the numbers of 12 and 30. Therefore they are said to be the common factors.

  4. GCF – Greatest Common Factor • It is simply the largest of the common factors. • The "Greatest Common Factor“ or GCF is the largest of the common factors (of two or more numbers) .

  5. Lets take the same example: • What is the GCF of 12 and 30? • Factors of 12 are 1, 2, 3, 4, 6 and 12 • Factors of 30 are 1, 2, 3, 5, 6, 10, 15 and 30 • ??think?? think?? • think?? think??

  6. The GCF of 12 AND 30 is…….. • 6

  7. 3 methods to find the GCF • 1. Factors • 2. Factor Trees • 3. Upside Down Birthday Cake • Does it matter which method YOU chose to use? • You solve the GCF with the method that best fits you!

  8. Method 1 – Factors (old school) • Lets look at an example of GCF using the method of Factors. • http://studyjams.scholastic.com/studyjams/jams/math/fractions/greatest-common-factor.htm • This is study jams on step by step under home.

  9. Method 2 – Factor Trees • Lets look at an example of GCF using the method of Factor Trees using the same problem. • http://studyjams.scholastic.com/studyjams/jams/math/fractions/greatest-common-factor.htm • This is study jams under watch out.

  10. Method 3 – Upside Down Birthday Cake • Lets look at an example of GCF using the method of Upside Down Birthday Cake. • http://www.youtube.com/watch?v=GD5jLpSsN00

  11. Decisions and Practice • Decide which method is BEST for YOU. • Lets practice some homework problems using each method. • Happy finding GCF. • Have a great day and thanks for stopping by.

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