4.3 Greatest Common Factors (GCF)

Slides:



Advertisements
Similar presentations
GCF and LCM Section 2.3 Standards Addressed: A , A
Advertisements

Greatest common factors (gcf) & least common multiples (lcm)
Use of Venn Diagrams to find the GCF and LCM
Multiple A multiple of a number is the product of that number and any other whole number. Zero is a multiple of every number. What am I? Examples: 4: 8,
GCF & LCM - Monomials.
Greatest Common Factor
Least Common Multiple Objective: Finding Least Common Multiple (LCM)
The ABC’s of GCF and LCM.
PRIME AND COMPOSITE NUMBERS
GREATEST COMMON FACTOR
Used to find the LCM and GCF to help us add and subtract fractions.
Least Common Multiple (LCM) of
Least Common Multiple (LCM)
Greatest Common Factor and Least Common Multiples GCF and LCM
Prime Factorization (Factor Trees) Greatest Common Factor
Factors & Multiples Lesson 1 - Factors & GCF
GCF and LCM Lesson 3.01.
GREATESTCOMMONFACTOR.
Factors
 What prime factorization is.  For example the prime factorization of 24 = 2223  Today we will learn how to find the greatest common factor of two.
GCF – Greatest Common Factor 4-3
GREATEST COMMON FACTOR (GCF) LEAST COMMON MULTIPLE (LCM) EXPONENTS SQUARE ROOTS ORDER OF OPERATIONS.
Finding the LCM (least common multiple) and GCF (greatest common factor)
5.1 Divisibility. Natural Numbers The set of natural numbers or counting numbers is {1,2,3,4,5,6,…}
Factors are numbers you can multiply together to get another number. Multiples are numbers that can be divided by another number without a remainder. Its.
Chapter Do you remember? The definition of: prime number? factor? prime factor? common factor? greatest common factor? multiple? common multiple?
Factoring by Common Factor Factorise the polynomial: 3x 3 y 5 + 9x 2 y x y 7 Determine the GCF of the terms  GCF of 3, 9, and 12 is 3  The smallest.
Greatest Common Factor Lesson 3-3. Greatest Common Factor (GCF) The greatest common factor is the largest factor that two numbers share. Let’s find the.
Goal: Find the greatest common factor of two or more numbers.
REMEMBER: What is a factor? What are the factors of 24?
Least Common Multiples (LCM) & Greatest Common Factors (GCF)
Greatest Common Factor and Least Common Multiples GCF and LCM.
How can you find the greatest common factor of two numbers?
Least Common Multiples and Greatest Common Factors Lesson 4.3.
Least Common Multiple Greatest Common Factor
It starts exactly like GCF! LET’S MOVE ON TO LEAST COMMON MULTIPLE!
Factors are numbers you can multiply together to get another number Example: 2 and 3 are factors of 6, because 2 × 3 = 6 Objectives: SWBAT 1) find the.
Warm Up 10/21/15 1. List all the factors of List all the factors of Find the greatest common factor of 40 and 60.
Greatest Common Factor and Least Common Multiples GCF and LCM.
Least Common Multiples
Topic #3: GCF and LCM What is the difference between a factor and a multiple? List all of the factors and the first 3 multiples of 6.
Greatest Common Factor (GCF) and Least Common Multiple (LCM)
Extra Lesson Greatest Common Factor and Least Common Multiple of Monomials Essential Question: How do you find the greatest common factor and least common.
PRIME FACTORIZATION Pg. 12. ESSENTIAL QUESTION HOW do you use equivalent rates in the real world?
Greatest Common Factor and Least Common Multiples GCF and LCM
Factors
Fraction Jeopardy LCM GCF $100 $200 $300 $400 $500 $600 $700 Add it up
Prime Factorization (Factor Trees) Greatest Common Factor
FINDING THE GREATEST COMMON FACTOR
Least Common Multiples and Greatest Common Factors
GCF (greatest common factor) & LCM (least common multiple)
Greatest Common Factor
Positive Numbers and the Number Line
Prime Factorization Prime factorization is the long string of factors that is made up of all prime numbers.
Fraction Review.
Factors and Multiples 4th Grade.
Positive Numbers and the Number Line
Greatest Common Factor
PRIME FACTORS.
Finding the Least Common Multiple (LCM)
Greatest Common Factor and Least Common Multiples GCF and LCM
Least Common Multiples
Greatest Common Factor and Least Common Multiples GCF and LCM
Greatest Common Factor (GCF)
Least common multiple Lesson 1.3.
Greatest Common Factor
GCF and LCM.
Finding the LCM and the GCF Using Prime Factorization
Least Common Multiples and Greatest Common Factors
Finding the Least Common Multiple (LCM)
Presentation transcript:

4.3 Greatest Common Factors (GCF) I can find the greatest common factor of a set of numbers

Review A factor is number that is multiplied by another number to get a product

The greatest common factor is the largest factor that two or more numbers share. Factors of 24: Factors of 36: Common factors: 1, 2, 3, 4, 6, 8, 12, 24 1, 2, 3, 4, 6, 9, 12, 18, 36 1, 2, 3, 4, 6, 12 The greatest common factor (GCF) of 24 and 36 is 12. Example 1 shows three different methods for finding the GCF.

Additional Example 1A: Finding the GCF Find the GCF of the set of numbers. 28 and 42 Method 1: List the factors. factors of 28: factors of 42: List all the factors. 1, 2, 4, 7, 14, 28 1, 2, 3, 6, 7, 14, 21, 42 Circle the GCF. The GCF of 28 and 42 is 14.

Find the GCF of the set of numbers. Check It Out: Example 1A Find the GCF of the set of numbers. 18 and 36 Method 1: List the factors. factors of 18: factors of 36: List all the factors. 1, 2, 3, 6, 9, 18 1, 2, 3, 4, 6, 9, 12, 18, 36 Circle the GCF. The GCF of 18 and 36 is 18.

Try on your Own 16 & 28 24 & 56

Guided: using Distributive Property 15 + 25 36 + 72

Try on your own 10 + 90= 45 + 72=

LCM LCM: Least Common Multiple: The smallest number, other than zero, that is a multiple of two or more given numbers

Guided Practice 5 & 6 9 & 11

Try on Your own 3 & 7 4 & 6