1 / 6

Greatest Common Factor

Greatest Common Factor. Objective: Finding Greatest Common Factor (GCF). Vocabulary. The greatest common factor is the biggest factor that is common to two or more numbers. Method 1: Listing the factors. Find the GCF of 40 and 24. 1, 2, 3, 4, 6, 8, 12, 24. 24: 40:.

von
Download Presentation

Greatest Common Factor

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Greatest Common Factor Objective: Finding Greatest Common Factor (GCF) Vocabulary The greatest common factor is the biggest factor that is common to two or more numbers Method 1: Listing the factors Find the GCF of 40 and 24 1, 2, 3, 4, 6, 8, 12, 24 24: 40: What’s the biggest common factor? 1, 2, 4, 5, 8, 10, 20, 40 8

  2. Method 2: Using prime factorization (factor trees) Find the GCF of 36 and 48 48 36 6 8 6 6 2 4 2 3 3 2 2 2 3 2 2 36: 48: 2•2•3•3 The common factors are 2,2,and 3 2•2•2•2•3 The GCF is 2•2•3 12

  3. Method 3 Using prime factorization (upside down division) Find the GCF of 45 and 60 60 2 5 45 3 9 2 30 15 3 3 5 3•3•5 2•2•3•5 The GCF is 3•5 = 15

  4. Find the greatest common factor: Factor each x·y =2·2·7·x·x·y·y

  5. The greatest common factor of 32 and a number n is 8. Find 4 possible values of n. Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64 Which multiples of 8 share a greatest common factor with 32 that is 8? 8: 16: 24: 32: 40: 48: 56: 64: Yes: GCF is 8 No: GCF is 16 Yes: GCF is 8 No: GCF is 32 Yes: GCF is 8 No: GCF is 16 Yes: GCF is 8 No: GCF is 32 Are there any more?

  6. Flo the florist just got a large order of flowers. She received 60 daisies, 54 lilies, 42 roses and 24 tulips. She wants to make the greatest number of identical bouquets using all of the flowers. How many bouquets can the florist make? How many of each type of flower are in each bouquet. 2·2·3·5 2·3·3·3 2·3·7 2·2·2·3 D 60: L 54: R 42: T 24: GCF is 6 6 Bouquets with 10 Daisies, 9 Lilies, 7 Roses, and 4 Tulips

More Related