Greatest common factor, least common multiple

Grade 6 Math Worksheet - Challenge Me

NameDate

Circle the best answer, or write your answer on the line.

  1. Jun has 72 star stickers and 90 heart stickers. Jun fills identical goodie bags with nothing left over. What is the greatest number of bags Jun can fill?

  2. Kira watches two trains leave the station together at 7:00 a.m. One leaves every 8 minutes and the other every 12. After how many minutes do they leave together for the second time after 7:00?

  3. Luz's lamp has a red light that flashes every 10 seconds and a blue one every 12. They flash together now. After how many seconds do they flash together for the second time from now?

  4. Ren plans a trip for 36 younger students and 45 older students. Each group has the same number of each, with as many groups as possible. How many older students are in each group?

  5. Tala has 40 red buttons and 56 blue buttons. Tala makes as many identical button cards as possible, with no buttons left over. How many blue buttons are on each card?

  6. Zee bakes 30 cookies and 42 rolls. Zee fills as many identical boxes as possible, with nothing left over. How many cookies are in each box?

  7. Juice boxes come in packs of 10 and cookies in packs of 12. Bo buys the fewest of each to have one cookie per juice box. How many packs of cookies does Bo buy?

  8. Kira rewrites a sum. Write 56 + 98 as the greatest common factor times a sum. What do the two numbers inside the parentheses add up to?

  9. Luz rewrites a sum. Write 90 + 36 as the greatest common factor times a sum. What do the two numbers inside the parentheses add up to?

  10. Milo rewrites a sum. Write 70 + 42 as the greatest common factor times a sum. What do the two numbers inside the parentheses add up to?

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Greatest common factor, least common multiple

Answer Key - Grade 6 Math Worksheet - Challenge Me

Circle the best answer, or write your answer on the line.

  1. Jun has 72 star stickers and 90 heart stickers. Jun fills identical goodie bags with nothing left over. What is the greatest number of bags Jun can fill?

    18
  2. Kira watches two trains leave the station together at 7:00 a.m. One leaves every 8 minutes and the other every 12. After how many minutes do they leave together for the second time after 7:00?

    48
  3. Luz's lamp has a red light that flashes every 10 seconds and a blue one every 12. They flash together now. After how many seconds do they flash together for the second time from now?

    120
  4. Ren plans a trip for 36 younger students and 45 older students. Each group has the same number of each, with as many groups as possible. How many older students are in each group?

    5
  5. Tala has 40 red buttons and 56 blue buttons. Tala makes as many identical button cards as possible, with no buttons left over. How many blue buttons are on each card?

    7
  6. Zee bakes 30 cookies and 42 rolls. Zee fills as many identical boxes as possible, with nothing left over. How many cookies are in each box?

    5
  7. Juice boxes come in packs of 10 and cookies in packs of 12. Bo buys the fewest of each to have one cookie per juice box. How many packs of cookies does Bo buy?

    5
  8. Kira rewrites a sum. Write 56 + 98 as the greatest common factor times a sum. What do the two numbers inside the parentheses add up to?

    11
  9. Luz rewrites a sum. Write 90 + 36 as the greatest common factor times a sum. What do the two numbers inside the parentheses add up to?

    7
  10. Milo rewrites a sum. Write 70 + 42 as the greatest common factor times a sum. What do the two numbers inside the parentheses add up to?

    8