Name Date Practice B Find the G C F of the numbers using lists of factors. 1. 15,40 1^ 4. 21,84 2. 32,56 5. 60, 100|pp| 3. 34,39 6. 48,108 jjj JJX) Find the G C F of the numbers using prime factorizations. —i 34, 85 8. 72, 108 9. 80, 200 10. 42,56 11. 22,154 f^X] ^0, 150 13. Describe and correct the error in finding the GCF of 10 and 18. 7. X 10 = 2 • 5 -tkSCP 15 2. 18 = 2 • 3^ The GCF is 90.< Find the G C F of the numbers. 14.45,51,69 15. 20,45,55 16.24,84,108 17. You are creating a set of three numbers that have a GCF of 9. You have 27 and 54 for two of the numbers. 'Hi? a. What is the GCF of27 and 54? b. Find two numbers that you could add to the set of 27 and 54 such that the GCF is now 9. 18. Consider the numbers 308, 616, and 660. a. Find the prime factorization of each number. b. Find the GCF of each pan* of numbers. c. Which pair of numbers has a different GCF than the other two pairs? /g 30 Big Ideas Math Green Resources by Chapter Copyright © Big Ideas Learning, L L C All rights reserved. Name Date. Practice A Use a Venn diagrajiLto find the greatest common factor of the numbers. 1.10,35 2.18,42 |Xj 3.48,120 Find the G C F of the numbers using lists of factors. 4. 8,12 7. 34,119 jj^l 5. 22,121 fff^ 8. 32,45 6. 50,90 9. 18,42 Find the G C F of the numbers using prime factorizations. 10. 36,60 jf3£2 , 11. 45,75 /T^J 12. 54,126 78,117 14.42,63 - ^ 5 3 , ^ 6 / 16. A high school swim team has 12 new female swimmers and 30 returning female swimmers. Each practice team must have the same number of new and returning female swimmers. a. What is the greatest number of practice teams the coach can make using every swimmer? b. How many new and returning female students will be on each practice team? 13. Find the G C F of the numbers. 17. 27,45,63 £^ 18. 20,36,72 20. Write a set of three numbers that have a GCF of 13. 19. 24,40,64 J_2l/ Tell whether the statement is a l w a y s , s o m e t i m e s , or nev^er true. 21. The GCF of two numbers is a composite number. 22. The GCF of two numbers is equal to the lesser of the numbers. 23. You have three numbers. a. Two of the numbers are 24 and 42. What is the GCF of these two numbers? ^ b. The third number is greater than 42 and does not change the GCF. What is one possibility for the third number? bid (f(yt4 ^ Copyright © Big Ideas Learning, L L C All rights reserved. sofuth'ifj tht. Big Ideas Math Green Resources by Chapter Date Name Enrichment and Extension Successive Division Successive division is a method useful for fmding the GCF of two large numbers using long division repeatedly until a remainder of zero is reached. Example: Find the GCF of 118 and 250. Step 1: Using long division, divide the lesser number into the greater number. 2 118)250 - 236 Step 2: Divide the remainderfromStep 1 into the divisorfromStep 1. If necessary, repeat this step until a remainder of zero is reached. The final divisor is the GCF of the two numbers 29 4JT18 2 38 2)4 -36 - 4 0 So, the GCF of 118 and 250 is 2. Find the G C F of the numbers. 1. 3 5. 7. 108,240 154,875 30,159 178,1376 Copyright © Big Ideas Learning, L L C All rights reserved. 2. 4. 6. 8. 184,664 243,405 40,712 88,1592 Big Ideas Math Green Resources by Chapter 3'| Name Date Puzzle Time 1.5 Why Did The Horse Put On A Blanket? Circle the letter of each correct answer in the boxes below. The circled letters will spell out the answer to the riddle. Find the G C F of the numbers. 1. 12,28 4. 16,72 5. 35,56 7. 26,52 8. 45,54 10. 34,85 11. 48,64 ij- 2. n 15,60 3. 1 a 9. 42,54 ^ I 12. 77, 121 / I 1 15. 36,54,108 n 10 3 6. 33,46 I 14. 42,63,84 13. 20,30,90 9,24 16. Your local minor league baseball team has 120 ball caps, 180 miniature baseball keychains, and 240 glow in the dark bracelets to give away to children on opening day. The items will be split into identical sets //nn with no items left over. Each child will receive one set of items. What (Jj"!, is the greatest number of children that will receive a set of items on ^ opening day? Solve. A B E G H 1 L T B 6 (t) B Q) 99 11 2 31 9 50 5 26 43 29 4 40 17 32 8 25 16 76 10 A X E (!) K R T (5) A R R W A 22 7 55 24 15 34 30 18 28 3 19 100 21 35 6 27 1 81 60 32 Big Ideas Math Green Resources by Chapter Copyright © Big Ideas Learning, L L C All rights reserved.
© Copyright 2024 ExpyDoc
