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# Gcf

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• ### Gcf

1. 1. Tuesday, August 16th<br /><ul><li>Complete Warm Up
2. 2. Write down Homework</li></ul>Warm Up<br />What is the Greatest Common Factor of the following numbers:<br />1. 24 and 32 2. 100 and 150<br />
3. 3. Corny Joke of the Day<br />What did the Atlantic Ocean say to the pacific ocean?<br />Nothing they just waved<br />
4. 4. When is the Test??!?!<br />
5. 5. “To the Computer & Beyond”<br />What questions do you have?!?!?!<br />
6. 6. Finish Quiz <br /> Answer Sheet on top<br />Silent read until everyone is finished<br />Keep folders up please <br />
7. 7. Table of Contents Error<br />Prime Factorization should say: pages 5 and 6 <br />Musical Math Cards should say: Page 7<br />
8. 8. Table of Contents<br />Date: 8/16<br />Section: 4-3<br />Title: Greatest Common Factor<br />Pages: 8 & 9<br />
9. 9. Did you Know that there is another way to find Prime Factorization?!?!<br />
10. 10. Method 2<br />Ladder Diagram<br />Divide number by prime factors until the quotient is 1. <br />
11. 11. Just Watch<br /> Use a ladder diagram.<br />Choose a prime factor of 36 to begin. Keep dividing by prime factors until the quotient is 1.<br />3<br />36<br />3<br />36<br />12<br />12<br />2<br />3<br />6<br />4<br />2<br />2<br />2<br />3<br />2<br />3<br />1<br />1<br />36 = 3 • 2 • 2• 3<br />36 = 3 • 3 • 2 • 2<br />The prime factorization of 36 is 3 • 2 • 2 • 3, or 32 • 23.<br />
12. 12. You Try!<br />Prime factorization of 45<br />Choose a prime factor of 45 to begin. Keep dividing by prime factors until the quotient is 1.<br />3<br />45<br />5<br />45<br />15<br />9<br />3<br />3<br />5<br />3<br />5<br />3<br />1<br />1<br />45 = 3 • 3 • 5<br />45 = 5 • 3 • 3<br />The prime factorization of 45 is 3 • 3 • 5 or 32• 5 .<br />
13. 13. Which one do you like better?!?!<br />
14. 14. Getting to know your partner<br /> I want you to turn to the person sitting next to you and come up with at least 4 things that you both like  <br />Are these commonalities more like: <br />Factors or Multiples<br />What is one thing that we all like?<br />
15. 15. Question of the Day<br />How’d you solve today’s warm up?<br />What is the Greatest Common Factor of the following numbers:<br />1. 24 and 32 2. 100 and 150<br />
16. 16. Method 1: Rainbow<br />List all factors in a sequence and see which factor is the greatest<br />26<br />34<br />
17. 17. Method 2: Prime Factorization<br /> And 32 <br />
18. 18. 45 18 27<br />15 6 9<br />Method 3: Ladder Diagram <br />45, 18, and 27<br />3<br />Begin with a factor that divides into each number. Keep dividing until the three have no common factors. <br />3<br /> 5 2 3<br />Find the product of the numbers you divided by.<br />3• 3 =<br />9<br />The GCF of 45, 18, and 27 is 9.<br />
19. 19. You try! <br />Find the GCF<br />36 and 132<br />21 and 63<br />100 and 50<br />
20. 20. Challenge<br />Find the GCF <br />18, 39, and 42<br />
21. 21. Worktime!Worksheet: 5.4<br />