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Chapter 5.1-5.3 Do you remember? The definition of: prime number? factor? prime factor? common factor? greatest common factor? multiple? common multiple? least common multiple? Write these definitions in your own words on your MMC worksheet. Let’s see if you were correct. Match the terms to the definitions shown below. Prime Number A whole number greater than 1 whose only factors are 1 and itself Common Factor Factor A number that is a A number that is factor of two or more multiplied by numbers another number to LCM find a product The smallest Prime Factor Multiple number, other than Prime numbers that The product of a zero, that is a are factors of an given whole number common multiple of integer and another whole two or more GCF number numbers The greatest factor Common Multiple that two or more A number that is a numbers have in multiple of two or common more numbers Find the GCF and LCM of 24 and 60 • Use a factor tree to help you find the Prime Factors • Then a Venn Diagram to help you find the GCF and LCM • Can you remember how to draw a Factor Tree? FACTOR TREES 24 4 2 60 6 22 4 3 2 15 2 3 Prime Factors have now been found. 5 Prime Factors 24 = 2 x 2 x 2 x 3 60 = 2 x 2 x 3 x 5 We now need to find the - Greatest Common Factor GCF and the LCM - Least Common Multiple Venn Diagram GCF is the region of intersection 2 x 2 x 3 = 12 24 = 2 x 2 x 2 x 3 60 = 2 x 2 x 3 x 5 60 24 2 2 2 3 GCF = 2 x 2 x 3 = 12 LCM = 2 x 2 x 2 x 3 x 5 = 120 5 LCM is all the numbers in the circles multiplied together 2 x 2 x 2 x 3 x 5=120 The LCM of two or more numbers is the smallest number that is a multiple of each of the numbers. 24 x 5 =120 60 x 2 =120 or you could write out the multiples of 24 and 60 24, 48, 72, 96, 120, 144,…. 60, 120, 180, 240, 300,.... The GCF of two or more numbers is the largest number that divides exactly into each of them. 24 ÷ 12 = 2 60 ÷ 12 = 5 Can you do some questions now on your own? Find the GCF and LCM of the following: 1. 6 and 15 2. 20 and 30 3. 14 and 42 4. 24, 30 and 54 Answers: 1.GCF = 3, LCM = 30 2.GCF = 10, LCM = 60 3.GCF = 14, LCM = 42 4.GCF = 6, LCM = 1080