Grade 6 Mathematics · Unit 6: Numerical and Algebraic ExpressionsStandard 6.NOS.4

Lesson 6.76.7 Small Group · Group 2

Group 2 · Set BSecond challenge form · new problems, same idea

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Learning target I can find the greatest common factor and the least common multiple of two numbers, and use each to solve a real problem, explain why the method works, and use it on a problem I have not seen before.

Remember6.7 Small Group · Group 2

Use the GCF when you split amounts into equal groups, and the LCM when you need repeating amounts or events to match. Decide if a problem asks you to split into equal groups (GCF) or to match repeating amounts (LCM).

Words: Factor (Factor)Multiple (Múltiplo)Greatest common factor (GCF) (Máximo común divisor (MCD))Least common multiple (LCM) (Mínimo común múltiplo (mcm))Factor pair (Par de factores)

  1. 1Complete each step, then write the final answer.

    A teacher has 24 red beads and 40 blue beads. She makes bags that are all the same, with nothing left over. What is the greatest number of bags?

    Show your work
    Final answer:
  2. 2Complete each step, then write the final answer.

    Find the LCM of 8 and 14.

    Show your work
    Final answer:
  3. 3Complete each step, then write the final answer.

    A florist has 45 roses and 60 daisies. She makes identical bunches with no flowers left over. What is the greatest number of bunches?

    Show your work
    Final answer:
  4. 4Complete each step, then write the final answer.

    Two numbers have a GCF of 4 and an LCM of 24. One number is 8. What is the other number?

    Show your work
    Final answer:

Explain your thinkingOne problem says 'equal groups with nothing left over.' Another says 'the same number from packs.' Which needs the GCF and which needs the LCM? Why?

How did it go? ☐ 4 · I can teach it☐ 3 · I've got it☐ 2 · I need a hint☐ 1 · I need help