Presentation on theme: "Use of Venn Diagrams to find the GCF and LCM"— Presentation transcript:
1 Use of Venn Diagrams to find the GCF and LCM Chapter
2 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.
3 Let’s see if you were correct. Match the terms to the definitions shown below.Prime NumberCommon FactorA whole number greater than 1 whose only factors are 1 and itselfFactorA number that is a factor of two or more numbersA number that is multiplied by another number to find a productLCMThe smallest number, other than zero, that is a common multiple of two or more numbersPrime FactorMultiplePrime numbers that are factors of an integerThe product of a given whole number and another whole numberGCFThe greatest factor that two or more numbers have in commonCommon MultipleA number that is a multiple of two or more numbers
4 Find the GCF and LCM of 24 and 60 Use a factor tree to help you find the Prime FactorsThen a Venn Diagram to help you find the GCF and LCMCan you remember how to draw a Factor Tree?
5 Prime Factors have now been found. FACTOR TREES24604641522232235Prime Factors have now been found
6 We now need to find the GCF Prime Factors24 = 2 x 2 x 2 x 360 = 2 x 2 x 3 x 5We now need to find the GCF- Greatest Common Factorand the LCM- Least Common Multiple
7 Venn Diagram GCF is the region of intersection 24 = 2 x 2 x 2 x 3 60242252LCM is all the numbers in the circles multiplied together2 x 2 x 2 x 3 x 5=1203GCF = 2 x 2 x 3 = 12LCM = 2 x 2 x 2 x 3 x 5 = 120
8 or you could write out the multiples of 24 and 60 The LCM of two or more numbers is the smallest number that is a multiple of each of the numbers.24 x 5 = x 2 =120or you could write out the multiples of 24 and 6024, 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 = ÷ 12 = 5