GCF and LCM

Presentation

•

Mathematics

•

6th Grade

•

Practice Problem

•

Medium

•

CCSS

6.NS.B.4, 4.OA.B.4, 6.RP.A.1

Standards-aligned

Sonata Murry

Used 424+ times

FREE Resource

9 Slides • 11 Questions

GCF and LCM

How to find the Greatest Common Factor and Least Common Multiple

Greatest Common Factors

Multiple Choice

Which pair of numbers has a GCF of 5?

10 and 25

30 and 40

45 and 9

50 and 25

Multiple Choice

Find the GCF of 64 and 144.

Hint-Remember to use your factor trees to help you.

How to Find the Greatest Common Factor (GCF)

The Greatest Common Factor, or GCF, is the greatest factor that divides two numbers. To find the GCF of two numbers:

1. List the prime factors of each number.

2. Multiply those factors they both have in common. If there are no common prime factors, the GCF is 1.

math.com

GCF continued

Prime Factors of 18: 2 x 3 x 3

Prime Factors of 24: 2 x 2 x 2 x 3

There is one 2 and one 3 in common.

The GCF is 2 x 3 = 6

math.com

Example

Find the GCF of 14 and 49F

Factors of 14: 2 x 7

Factors 49: 7 x 7

7 is the only common factor. Therefore the GCF is 7

Least Common Multiple

Least Common Multiple (LCM)

A common multiple is a number that is a multiple of two or more numbers. The common multiples of 3 and 4 are 0, 12, 24, ....

The least common multiple (LCM) of two numbers is the smallest number (not zero) that is a multiple of both.

Least Common Multiple

Multiples of 3:

0, 3, 6, 9, 12, 15, 18, 21, 24

Multiples of 4:

0, 4, 8, 12, 16, 20, 24

The LCM of 3 and 4 is 12

Multiple Choice

What is the least common multiple (LCM) of 4 and 10?

Multiple Choice

What number is a factor for EVERY number?

100

Multiple Choice

What is the least common multiple (LCM) of 4 and 10?

Multiple Choice

Which is a NOT a factor of 9?

Multiple Choice

What is the GCF of 7 and 18?

Multiple Choice

51 is a _____________ of 3

Factor

Multiple

Multiple Choice

Pencils come in packs of 8 and highlighters in packs of 12.
A. What is the least number of pencils and highlighters you need to buy for an equal amount?
B. What is the least number of packages you need to buy to have an equal amount of pencils and highlighters?

A. 4 B. 2 pencil and 3 highlighter

A. 48 B. 6 pencil and 4 highlighter

A. 24 B. 3 pencil and 2 highlighter

Multiple Choice

Bill cut out 6 squares and 8 circles. He divided the cutouts into groups so that the same number of squares and circles were in each group. What is the greatest number of groups he could have made?

Multiple Choice

List all the factors of 12

1, 2, 3, 4, 6, 12

1, 2, 4, 12

1, 12

1, 2, 3, 4, 5, 6, 12

GCF and LCM

How to find the Greatest Common Factor and Least Common Multiple

Show answer

Auto Play

Slide 1 / 20

SLIDE

Similar Resources on Wayground

16 questions

6.G.1: Area Review

Presentation

•

6th Grade

16 questions

10.5 Dot Plots, Stem-and-Leaf Plots

Presentation

•

6th Grade

16 questions

Input Output Tables

Presentation

•

6th Grade

16 questions

Distributive property/ expressions

Presentation

•

6th Grade

16 questions

Fraction/Decimal/Percent Conversion

Presentation

•

6th Grade

15 questions

Evaluating Algebraic Expressions

Presentation

•

6th Grade

15 questions

Basic Ratios

Presentation

•

6th Grade

14 questions

(5th) Introduction to Exponents Lesson

Presentation

•

6th Grade

Popular Resources on Wayground

24 questions

PBIS-HGMS Day 10

Quiz

•

6th - 8th Grade

10 questions

HCS SCI 03 Summer School Review 3

Quiz

•

3rd Grade

11 questions

Home Scope

Quiz

•

7th - 8th Grade

15 questions

HCS SCI 05 Summer School Assessment 3 Review

Quiz

•

5th Grade

35 questions

Lufkin Road Middle School Student Handbook & Policies Assessment

Quiz

•

7th Grade

18 questions

Geo 11.3 Area of Circles and Sectors

Quiz

•

9th - 11th Grade

Discover more resources for Mathematics

24 questions

PBIS-HGMS Day 10

Quiz

•

6th - 8th Grade