10) Mr. Fortune directs two choruses. 8) Mitch is buying hamburgers and hamburger buns. Hamburgers are sold in packages of 6 One chorus has 28 students and each. Hamburger buns are sold in packages the other has 36 students. He of 8 each. What is the least number of wants to divide each chorus into hamburgers and buns Mitch can buy if he wants to have an equal number of each? the largest possible equal groups, with no students left over. How LCM = 24 many students will be in each group? 6 12 18 24 30 36 GCF = 4 8 16 24 32 40 48 24 divided by 6 = 4 packages of Do a factor tree to find the hamburgers greatest common factor. 24 divided by 8 = 3 packages of hamburger buns 28, 14, 7, 4, 2, 1 Mitch would have 24 hamburgers and 36, 12, 9, 4, 3, 2, 1 24 hamburger buns. If Mr. Fortune puts together 4 Groups, he will have 28 divided 9) Mr. Thomas is packaging items to give to his students. He has 48 pencils and 30 by 4 = 7 students and 36 divided notebooks. He wants each package to contain the same number of pencils and by 4 = 9 students of the other notebooks. What is the greatest number of packages Mr. Thomas can make without chorus in each group. having any items left over? This equates to 16 students in 4 GCF = 6 groups. 48 16, 12,8, 6, 3, 2, 1 –48, 30 15, 6, 5, 2, 1 –30, Mr. Thomas can take 8 pencils and 5 notebooks to make 6 packages without having any items left over.
8) Mitch is buying hamburgers and hamburger buns. Hamburgers are sold in packages of 6 each. Hamburger buns are sold in packages of 8 each. What is the least number of hamburgers and buns Mitch can buy if he wants to have an equal number of each? LCM = 24 6 12 18 24 30 36 8 16 24 32 40 48 24 divided by 6 = 4 packages of hamburgers 24 divided by 8 = 3 packages of hamburger buns Mitch would have 24 hamburgers and 24 hamburger buns. 9) Mr. Thomas is packaging items to give to his students. He has 48 pencils and 30 notebooks. He wants each package to contain the same number of pencils and notebooks. What is the greatest number of packages Mr. Thomas can make without having any items left over? GCF = 6 48 –48, 16, 12,8, 6, 3, 2, 1 30 –30, 15, 6, 5, 2, 1 Mr. Thomas can take 8 pencils and 5 notebooks to make 6 packages without having any items left over. 10) Mr. Fortune directs two choruses. One chorus has 28 students and the other has 36 students. He wants to divide each chorus into the largest possible equal groups, with no students left over. How many students will be in each group? GCF = 4 Do a factor tree to find the greatest common factor. 28, 14, 7, 4, 2, 1 36, 12, 9, 4, 3, 2, 1 If Mr. Fortune puts together 4 Groups, he will have 28 divided by 4 = 7 students and 36 divided by 4 = 9 students of the other chorus in each group. This equates to 16 students in 4 groups.
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