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Cogito

Grade 6 Math · Chapter 3 · Lesson 3

Practice Worksheet

Common Factors and Common Multiples

What two numbers share.

10 problems · about 17 minutes · 6.NS.B.4

NameDate

Figure — use these to answer the problems

Mark the multiples of one number, then change the step to find where two lists meet.
Numbers 1 to 100, ten in each row. 12 is chosen.
Chosen number12
Count in steps of4
Figure 1

Warm-Up Review

From earlier lessons. Loosen up before the new work.

2 problems

  1. From “Multiplying and Dividing Decimals”

    9 ÷ 0.3 = ?

    Answer

  2. From “Dividing a Fraction by a Fraction”

    3/4 ÷ 1/12 = ?

    Answer

Warm Up

Straightforward practice. Get the method working first.

4 problems

  1. Greatest common factor of 16 and 40?

    Answer

  2. Which is never bigger than the smaller number?

    • A common factor.
    • A common multiple.

  3. Greatest common factor of 18 and 24?

    Answer

  4. Least common multiple of 4 and 10?

    Answer

Build It Up

The same ideas with more to keep track of.

2 problems

  1. Greatest common factor of 15 and 25?

    Answer

  2. 14 + 21 = 7(2 + ?). What is the missing number?

    Answer

Stretch Yourself

Mixed problems. Work out what kind of question it is before you start.

2 problems

  1. The Bags

    24 apples and 36 pears into identical bags. What is the greatest number of bags?

    Answerbags

  2. The Buses

    One bus every 6 minutes, another every 8. After how many minutes do both come together?

    Answerminutes