Math 51 6.1 – Greatest Common Factor; Factoring by Grouping 1.

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Presentation transcript:

Math – Greatest Common Factor; Factoring by Grouping 1

The greatest number that divides all given numbers with no remainder is called the ____________________________________. ex: The GCF of 32, 40, and 24 is 8. Why? Since 32, 40, and 24 are divisible by 8, and 8 is the greatest such number. 2

The greatest number that divides all given numbers with no remainder is called the ____________________________________. ex: The GCF of 32, 40, and 24 is 8. Why? Since 32, 40, and 24 are divisible by 8, and 8 is the greatest such number. 3 greatest common factor (GCF)

The greatest number that divides all given numbers with no remainder is called the ____________________________________. ex: The GCF of 32, 40, and 24 is 8. Why? Since 32, 40, and 24 are divisible by 8, and 8 is the greatest such number. 4 greatest common factor (GCF)

Ex 1. Find the GCF of 36 and 54. 5

Ex 2. Find the GCF of 60 and 77. 6

7

8

9 Factoring

10 Factoring

11 Factoring

12 Factoring

13 Factoring

14 Greatest Common Factor (GCF)

15 Greatest Common Factor (GCF) GCF

16 Greatest Common Factor (GCF) GCF smallest

17 Greatest Common Factor (GCF) GCF smallest

18 Greatest Common Factor (GCF) GCF smallest

19 Greatest Common Factor (GCF)

20 Factoring by Grouping

1. ________ terms that have common monomial factor. 2. ______________ common monomial factor from each group. 3. ______________ remaining common binomial factor. 21 Factoring by Grouping

1. ________ terms that have common monomial factor. 2. ______________ common monomial factor from each group. 3. ______________ remaining common binomial factor. 22 Factoring by Grouping Group

1. ________ terms that have common monomial factor. 2. ______________ common monomial factor from each group. 3. ______________ remaining common binomial factor. 23 Factoring by Grouping Group Factor out

1. ________ terms that have common monomial factor. 2. ______________ common monomial factor from each group. 3. ______________ remaining common binomial factor. 24 Factoring by Grouping Group Factor out

25 Factoring by Grouping

26 Factoring by Grouping