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🧠 GCF and LCM: Show Your Thinking (6.NS.B.4)

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Find the greatest common factor and least common multiple of two whole numbers. Solve each problem and show your work.

1. GCF of 18 and 9 = ___
Show your work
2. LCM of 55 and 47 = ___
Show your work
3. GCF of 9 and 54 = ___
Show your work
4. LCM of 41 and 39 = ___
Show your work
5. GCF of 51 and 40 = ___
Show your work
6. LCM of 59 and 57 = ___
Show your work

Explain: How did you solve problem 1? Could you check it another way?

Answer key: 1) 9 · 2) 2585 · 3) 9 · 4) 1599 · 5) 1 · 6) 3363
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Worksheets › Grade 6 Math › GCF and LCM › GCF and LCM

Grade 6 (ages 11–12)Numbers & mathsFree printable PDF

About this grade 6 worksheet

Free Grade 6 math worksheet (Common Core 6.NS.B.4): gcf and lcm — problems with space to show work and explain reasoning, with answer key. Skill: Find the greatest common factor and least common multiple of two whole numbers. Level: Grade 6 — also suits Year 7 (UK).

For teachers: skills & standards

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What age is it for?

It is designed for Grade 6 (ages 11–12), but use it with any child who is ready.

What skills does it build?

Find the greatest common factor and least common multiple of two whole numbers.

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More “GCF and LCM” printables (6.ns.b.4: find the greatest common factor and least common multiple of two whole numbers)

GCF and LCM: Practice A (6.NS.B.4) · GCF and LCM: Practice B (6.NS.B.4) · GCF and LCM: Mixed Practice & Reasoning (6.NS.B.4) · GCF and LCM: Quick Check (6.NS.B.4)

All 5 gcf and lcm sheets → · Grade 6 Math: all 10 skills → · All Common Core grades

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