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

Lesson 6.76.7 Small Group · Group 1

Group 1 · Set BSecond form · new problems, same idea

Mastery check☐ Exceeds☐ Meets target☐ Needs practice

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Learning target With my small group, I can find the greatest common factor and the least common multiple of two numbers, and use each to solve a real problem — one step at a time, with support.

Remember6.7 Small Group · Group 1

Use the GCF to split amounts into equal groups. Use the LCM to find when repeating events line up again. The GCF is the greatest factor two numbers share. The LCM is the least multiple two numbers share.

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)

1Complete each step, then write the final answer.

Find the GCF of 16 and 24.
Show your work
Hint List the factors of 16 and of 24. Find the greatest number in both lists.
Final answer:
2Complete each step, then write the final answer.

Find the GCF of 20 and 45.
Show your work
Hint List the factors of 20 and of 45. Find the greatest number in both lists.
Final answer:
3Complete each step, then write the final answer.

Napkins come in packs of 6. Plates come in packs of 15. You want the same number of napkins and plates. What is the least number of each you can buy?
Show your work
Hint Whole packs make multiples. Find the LCM of 6 and 15.
Final answer:
4Complete each step, then write the final answer.

Use prime factors to find the GCF of 36 and 54.
Show your work
Hint Write each number as a product of primes. Multiply the primes they share.
Final answer:

Explain your thinkingHow do you decide if a problem needs the GCF or the LCM? Use the snack bags and Juan's days to explain.

Sentence starter I use the GCF when ___. · I use the LCM when ___.

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