Math ยท Number Theory

Greatest Common Factor and Least Common Multiple

Find the GCF and LCM of two numbers, use the distributive property and solve GCF and LCM word problems.

  • ๐ŸŽ“ Grade 6
  • ๐Ÿงฎ Math
  • ๐Ÿ“ 6.NS.B.4
  • โ“ 20 questions
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  1. Which shows 36 + 8 using the GCF and the distributive property?

    • A 4(9 + 2)
    • B 2(18 + 8)
    • C 4(9 + 8)
    • D 8(36 + 1)
  2. What is the GCF of 15 and 25?

    • A 5
    • B 375
    • C 75
    • D 10

    The greatest number that divides both 15 and 25 is 5.

  3. 18 apples and 24 pears are put into identical bags with none left. What is the greatest number of bags?

    • A 3
    • B 6
    • C 42
    • D 72
  4. What is the GCF of 12 and 18?

    • A 6
    • B 3
    • C 2
    • D 36

    The greatest number that divides both 12 and 18 is 6.

  5. Hot dogs come in packs of 10 and buns in packs of 8. What is the fewest hot dogs you can buy to have an equal number of buns?

    • A 2
    • B 80
    • C 18
    • D 40
  6. What is the GCF of 24 and 36?

    • A 6
    • B 12
    • C 3
    • D 4

    The greatest number that divides both 24 and 36 is 12.

  7. What is the GCF of 20 and 32?

    • A 2
    • B 640
    • C 160
    • D 4

    The greatest number that divides both 20 and 32 is 4.

  8. What is the LCM of 8 and 12?

    • A 96
    • B 24
    • C 32
    • D 4

    The smallest number both 8 and 12 divide into is 24.

  9. Which shows 24 + 60 using the GCF and the distributive property?

    • A 12(2 + 5)
    • B 12(2 + 60)
    • C 4(6 + 15)
    • D 6(4 + 10)
  10. What is the GCF of 14 and 35?

    • A 490
    • B 21
    • C 7
    • D 70

    The greatest number that divides both 14 and 35 is 7.

  11. What is the LCM of 10 and 15?

    • A 40
    • B 150
    • C 5
    • D 30

    The smallest number both 10 and 15 divide into is 30.

  12. Two lights blink every 6 and 9 seconds. They blink together now. In how many seconds will they blink together again?

    • A 18
    • B 3
    • C 15
    • D 54
  13. What is the GCF of 30 and 42?

    • A 2
    • B 3
    • C 210
    • D 6

    The greatest number that divides both 30 and 42 is 6.

  14. What is the GCF of 16 and 40?

    • A 4
    • B 8
    • C 2
    • D 80

    The greatest number that divides both 16 and 40 is 8.

  15. What is the LCM of 3 and 5?

    • A 15
    • B 30
    • C 8
    • D 18

    The smallest number both 3 and 5 divide into is 15.

  16. What is the LCM of 6 and 10?

    • A 30
    • B 2
    • C 36
    • D 60

    The smallest number both 6 and 10 divide into is 30.

  17. What is the GCF of 27 and 45?

    • A 3
    • B 1215
    • C 9
    • D 135

    The greatest number that divides both 27 and 45 is 9.

  18. What is the LCM of 4 and 6?

    • A 2
    • B 16
    • C 12
    • D 24

    The smallest number both 4 and 6 divide into is 12.

  19. What is the LCM of 9 and 12?

    • A 36
    • B 3
    • C 45
    • D 108

    The smallest number both 9 and 12 divide into is 36.

  20. What is the LCM of 6 and 8?

    • A 30
    • B 24
    • C 48
    • D 2

    The smallest number both 6 and 8 divide into is 24.

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