GCF and LCM Problem Solving

GCF and LCM Problem Solving

• 1.
  Day 19 LCM andGF Problem Solving. How can you tell if a word problem requires you to use Greatest Common Factor or Least Common Multiple to solve?
• 2.
  If it isa GCF Problem What is the question asking us? Do we have to split things into smaller sections? Are we trying to figure out how many people we can invite? Are we trying to arrange something into rows or groups?
• 3.
  If it isan LCM Problem What is the question asking us? Do we have an event that is or will be repeating over and over? Will we have to purchase or get multiple items in order to have enough? Are we trying to figure out when something will happen again at the same time?
• 4.
  On a sheetof notebook paper, tell whether the following word problems could be solved using GCF or LCM…
• 5.
  Question #1 Mrs. Evanshas 120 crayons and 30 pieces of paper to give to her students. What is the largest # of students she can have in her class so that each student gets equal # of crayons and equal # of paper.
• 6.
  Question #2 Rosa ismaking a game board that is 16 inches by 24 inches. She wants to use square tiles. What is the larges tile she can use?
• 7.
  Question #3 Star 94gave away a discount coupon for every fifth and sixth caller. Every twentieth caller received free concert tickets. Which caller was first to receive both a coupon and a concert ticket?
• 8.
  Question #4 Two bikersare riding a circular path. The first rider completes a round in 12 minutes. The second rider completes a round in 18 minutes. If they both started at the same place and time and go in the same direction, after how many minutes will they meet again at the starting point?
• 9.
  Question #5 Sean has15-inch pieces of toy train track and Ruth has 6-inch pieces of train track. How many of each piece would each child need to build tracks that are equal in length?
• 10.
  Question #6 I amplanting 50 apple trees and 30 peach trees. I want the same number and type of trees per row. What is the maximum number of trees I can plant per row?
• 11.
  Answers… 1.) GCF 2.) GCF 3.)LCM 4.) LCM 5.) LCM 6.) GCF
• 12.
  Examples. Joanne is campaigningfor class president and plans to distribute some campaign materials: 20 flyers and 16 buttons. She wants each classroom to receive an identical set of campaign materials, without having any materials left over. What is the greatest number of classrooms Joanne can distribute materials to?
• 13.
  Examples. Matthew goes hikingevery 12 days and swimming every 6 days. He did both kinds of exercise today. How many days from now will he go both hiking and swimming again?
• 14.
  Examples. Serena wants tocreate snack bags for a trip she is going on. She has 6 granola bars and 10 pieces of dried fruit. If the snack bags should be identical without any food left over, what is the greatest number of snack bags Serena can make?