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Published byAugustine Newton Modified over 9 years ago

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932840276498713209129318947 48209830958569408909284234 GREATESTCOMMONFACTOR

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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!!!!!

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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

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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 6 12 18 2 6 93 2 3 2 x 3 = 6 6 x 2 =12 6 x 3 = 18 CHECK:

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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, 24 36 = 1, 2, 3, 4, 6, 9, 12, 18, 36 Circle greatest common factor GCF = 12 24 364 6 93 2 3 Multiply common factors GCF = 4 x 3 = 12 12 x 2 = 24 12 x 3 = 36 CheckCheck

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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 30 90 120 10 9 123 3 4 10 x 3 = 30 30 x 3 = 90 30 x 4 = 120 CHECK:

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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 2 14 20 2 7 10 2 2 x 7 =14 2 x 10 = 20 CHECK:

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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 16 32 80 2 16 404 4 10 2 x 4 x 2 = 16 16 x 2 =32 16 x 5 = 80 2 5 2 CHECK:

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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 1 77 15 1 1 1 x 77 = 77 1 x 15 = 15 CHECK:

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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 6 36 4830 2 18 24 15 3 6 8 5 2 x 3 = 6 6 x 6 =36 6 x 8 = 48 6 x 5 =30 CHECK:

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

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