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Jon and Elly are making treat bags for their class party. Jon brought 32 pieces of gum. Elly brought 40 mints. What is the greatest number of equal treat.

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Presentation on theme: "Jon and Elly are making treat bags for their class party. Jon brought 32 pieces of gum. Elly brought 40 mints. What is the greatest number of equal treat."— Presentation transcript:

1 Jon and Elly are making treat bags for their class party. Jon brought 32 pieces of gum. Elly brought 40 mints. What is the greatest number of equal treat bags they can make?

2 In this lesson you will learn how to find the greatest common factor of two whole numbers by listing factor pairs.

3 Let’s Review Both 3 and 4 are factors of 12. Factors are numbers multiplied together to equal a product. 3 x 4 = 12 For example: 3 x 4 is a factor pair.

4 Factor Pairs of 12 1x12 2x6 3x4 4x3 6x2 x1

5 Let’s Review Factor Pairs of 18 1x18 2x9 3x6 6x3 9x2 x1

6 Core Lesson 3 steps to finding the Greatest Common Factor 1.List the factor pairs. 2.Identify the common factors. 3. Find the biggest common factor. That is the Greatest Common Factor (GCF)

7 Core Lesson Compare the factor pairs of 12 and 18. 1, 2, 3, and 6 Factor Pairs of 12 1x12 2x6 3x4 4x3 6x2 x1 Factor Pairs of 18 1x18 2x9 3x6 6x3 9x2 x1 2. Find common factors 3. Find GCF 1. List factor pairs

8 Jon and Elly are making treat bags for their class party. Jon brought 32 pieces of gum. Elly brought 40 mints. What is the greatest number of equal treat bags they can make?

9 Core Lesson Find the greatest common factor of 32 and 40. Factor Pairs of 40 1x40 2x20 4x10 5x8 8x5 x4 20x2 40x1 3. Find GCF 1, 2, 4, 8 Factor Pairs of 32 1x32 2x16 4x8 8x4 x2 32x1 1. List factor pairs 2. Find common factors

10 Core Lesson Jon brought 32 pieces of gum. Factor Pairs of 32 # of bags# of treats 1x32 2x16 4x8 8x4 x2 32x1 4 gum

11 Core Lesson Factor Pairs of 40 # of bags# of treats 1x40 2x20 4x10 5x8 8x5 x4 20x2 40x1 Elly brought 40 mints. 5 mints

12 Core Lesson 5 mints The greatest number of equal treat bags Jon and Elly can make is 8. 4 gum 5 mints 4 gum Jon and Elly can combine bags.

13 In this lesson you have learned how to find the greatest common factor of two whole numbers by listing factor pairs.


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