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These grade 6 gcf and lcm word problems worksheets are made for Grade 6 learners, with four difficulty levels so you can match the practice to the child.

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Grade 6 GCF and LCM word problems Worksheets

Grade 6 practice: Use greatest common factor and least common multiple to solve word problems. Choose a level below to generate a fresh set of questions.

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Understanding gcf and lcm word problems

GCF and LCM word problems ask learners to decide whether a situation calls for the greatest common factor or the least common multiple and then solve it. In Grade 6 students read a context — splitting items into equal groups or finding when two events coincide — and choose the right tool. Recognising which concept fits is often harder than the calculation itself.

For example, if one bell rings every 4 minutes and another every 6 minutes, they ring together again after the LCM, 12 minutes. A common mistake is to use GCF when the question is really about things happening together, which needs LCM. A helpful tip is to ask whether the answer should be larger or smaller than the given numbers: splitting into equal groups points to GCF (a size that fits inside), while repeating events lining up points to LCM (a time beyond both).

Sample gcf and lcm word problems questions

These examples come from the Easy setting. Generate a worksheet for a complete page with space for working.

One light flashes every 8 seconds and another every 7 seconds. They flash together now. After how many seconds will they next flash together?
One light flashes every 11 seconds and another every 11 seconds. They flash together now. After how many seconds will they next flash together?
Two ribbons are 12 cm and 5 cm long. They are cut into equal pieces that are as long as possible with none left over. How long is each piece?
One light flashes every 6 seconds and another every 4 seconds. They flash together now. After how many seconds will they next flash together?

Check the sample answers

56 seconds
11 seconds
1 cm
12 seconds

Practice focus

Use greatest common factor and least common multiple to solve word problems. Show your working so each step is clear.

Grade 6 GCF and LCM word problems Worksheets

Understanding gcf and lcm word problems

Sample gcf and lcm word problems questions

Practice focus

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