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. Milo has a swimming lesson every 6 days and a piano lesson every 12 days, both today. After how many days will Milo have both on the same day for the second time from today?

  4. Noah has 48 pencils and 72 erasers. Noah makes as many identical supply bags as possible, with nothing left over. How many erasers go in each bag?

  5. Pia sets up 60 chairs in the left section and 84 in the right. Every row has the same number of chairs, as many as possible. How many rows are in the right section?

  6. 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?

  7. 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?

  8. 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?

  9. Pens come in packs of 6 and markers in packs of 12. Esme buys the fewest of each to have the same number of pens and markers. How many packs of pens does Esme buy?

  10. 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?

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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. Milo has a swimming lesson every 6 days and a piano lesson every 12 days, both today. After how many days will Milo have both on the same day for the second time from today?

    24
  4. Noah has 48 pencils and 72 erasers. Noah makes as many identical supply bags as possible, with nothing left over. How many erasers go in each bag?

    3
  5. Pia sets up 60 chairs in the left section and 84 in the right. Every row has the same number of chairs, as many as possible. How many rows are in the right section?

    7
  6. 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
  7. 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
  8. 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
  9. Pens come in packs of 6 and markers in packs of 12. Esme buys the fewest of each to have the same number of pens and markers. How many packs of pens does Esme buy?

    2
  10. 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