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Transcript
Finding the GCF I can find the GCF of two whole numbers less than or equal to 100. What is a GCF? The Greatest Common Factor (G.C.F.) of two numbers is the largest number that is a divisor of both. It can be used to simplify (or reduce) fractions. What is a GCF? GREATEST is biggest or largest. COMMON is something shared or in common. FACTORS are the parts of multiplication facts. What is a GCF? There are multiple ways to find the GCF Today we will talk about two of the following two methods: 1) The Tree Method (Prime Factorization) 2) Listing Method Tree Method 1) Break the number down until it is only prime numbers 2) List the number as a factor of primes 3) Find all the prime numbers the two original number share 4) Multiply. The product is the greatest common factor Tree Method Break each number down to prime factors. 56 84 2 28 42 2 2 14 2 6 7 7 3 2 Prime Factorization of 56 and 84 56: 2x2x2x7 Circle what they have in common 84: 2x2x7x3 Multiply only one row. 2x2x7 The GCF is 28 Tree Method Break each number down to prime factors. 63 81 7 9 3 9 3 3 3 9 3 3 Prime Factorization of 63 and 81 Circle what they have in common 63:3X3x7 81:3x3x3x3 Multiply only one row. 3x3 The GCF is 9 Tree Method 3 48 6 56 8 2 4 2 7 4 2 2 2x2x2=6 GCF = 6 8 2 2 2 48 : 2 x 2 x 2 x 2 x 3 56: 2 x 2 x 2 x 7 Tree Method 3 24 6 36 3 4 2 2 9 2 3 24 : 2 x 3 x 3 2 x 3= 6 36 : 2 x 2 x 3 x 3 GCF = 6 3 Now try example 5 through 8 using the tree method by yourself! Exit Slip Finding the GCF Activity I can find the GCF of two whole numbers less than or equal to 100. Find the GCF of the following numbers 26 and 42 Find the GCF of the following numbers 30 and 40 Find the GCF of the following numbers 32 and 44 Find the GCF of the following numbers 27 and 45 Find the GCF of the following numbers 36 and 48 Find the GCF of the following numbers 65 and 91 Find the GCF of the following numbers 84 and 92 Find the GCF of the following numbers 51 and 75 Find the GCF of the following numbers 64 and 72 Find the GCF of the following numbers 99 and 66 Find the GCF of the following numbers 20 and 24 Find the GCF of the following numbers 21 and 56 Find the GCF of the following numbers 18 and 90 Find the GCF of the following numbers 8 and 64 Find the GCF of the following numbers 20 and 45 Find the GCF of the following numbers 18 and 63 Find the GCF of the following numbers 42 and 48 Find the GCF of the following numbers 16 and 28 Find the GCF of the following numbers 30 and 42 Find the GCF of the following numbers 36 and 72 Find the GCF of the following numbers 15 and 40 Find the GCF of the following numbers 24 and 28 Find the GCF of the following numbers 24 and 32 Find the GCF of the following numbers 9 and 54 Find the GCF of the following numbers 40 and 50 Find the GCF of the following numbers 6 and 36