932840276498713209129318947 48209830958569408909284234 GREATESTCOMMONFACTOR.

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Presentation transcript:

GREATESTCOMMONFACTOR

The Greatest Common Factor GCF of two or more numbers is the largest factor they have in common. METHOD 1 List all the factors of each number Find the largest common factor METHOD 2 Divide both numbers by the same factors – multiply all these factors There are two different methods for finding the GCF of a set of numbers. Let’s take a look at both ways!!!!!

The Greatest Common Factor GCF of two or more numbers is the largest factor they have in common. Find the GCF of 12 and 18 METHOD 1 List all the factors of each number Find the largest common factor Factors of 12 = 1, 2, 3, 4, 6, 12 Factors of 18 = 1, 2, 3, 6, 9, 18 Circle the greatest factor they have in common The Greatest Common Factor GCF is 6

The Greatest Common Factor GCF of two or more numbers is the largest factor they have in common. Find the GCF of 12 and 18 METHOD 2 Divide both numbers by the same factors – multiply all these factors The Greatest Common Factor GCF is x 3 = 6 6 x 2 =12 6 x 3 = 18 CHECK:

Find the Greatest Common Factor GCF of 24 and 36 METHOD 1 ALL FACTORS METHOD 2 DIVISION 24 = 1, 2, 3, 4, 6, 8, 12, = 1, 2, 3, 4, 6, 9, 12, 18, 36 Circle greatest common factor GCF = Multiply common factors GCF = 4 x 3 = x 2 = x 3 = 36 CheckCheck

The Greatest Common Factor GCF of two or more numbers is the largest factor they have in common. Find the GCF of 90 and 120 METHOD 2 Repeated Division The Greatest Common Factor GCF is x 3 = x 3 = x 4 = 120 CHECK:

The Greatest Common Factor GCF of two or more numbers is the largest factor they have in common. Find the GCF of 14 and 20 METHOD 2 Repeated Division The Greatest Common Factor GCF is x 7 =14 2 x 10 = 20 CHECK:

The Greatest Common Factor GCF of two or more numbers is the largest factor they have in common. Find the GCF of 32 and 80 METHOD 2 Repeated Division The Greatest Common Factor GCF is x 4 x 2 = x 2 =32 16 x 5 = CHECK:

The Greatest Common Factor GCF of two or more numbers is the largest factor they have in common. Find the GCF of 77 and 15 METHOD 2 Repeated Division The Greatest Common Factor GCF is x 77 = 77 1 x 15 = 15 CHECK:

The Greatest Common Factor GCF of two or more numbers is the largest factor they have in common. Find the GCF of 36, 48, and 30 METHOD 2 Repeated Division The Greatest Common Factor GCF is x 3 = 6 6 x 6 =36 6 x 8 = 48 6 x 5 =30 CHECK:

**ASSIGNMENT** Page 236 (#8-17, 37-38)Page 236 (#8-17, 37-38) Do Your Best!