
GCF and LCM: word problems
Free printable Grade 7 math worksheet for "GCF and LCM: word problems" — practice number theory. No-prep, print or assign online.
This worksheet provides challenging word problems focused on finding the greatest common factor and least common multiple, designed for Grade 7 students. Teachers can use it to reinforce number theory concepts and enhance problem-solving skills related to factors and multiples. Ideal for classroom practice or assessment, it supports mastery of GCF and LCM in practical contexts.
Learning objectives
- Calculate the greatest common factor (GCF) of two or more numbers in word problems.
- Determine the least common multiple (LCM) of given numbers through real-world scenarios.
- Apply GCF and LCM concepts to solve complex word problems involving multiples and factors.
Answer Key

How to use this worksheet
- Click “Download Worksheet” and sign in with Google or email to get the PDF instantly.
- Print at home or in class for Middle School; it's no-prep, with no extra materials needed.
- Use the included answer key to mark it in seconds.
Frequently asked questions
Is the “GCF and LCM: word problems” worksheet free?
Yes. “GCF and LCM: word problems” is a free printable Math worksheet. Sign in with Google or email to download the PDF instantly.
What grade or age is this Math worksheet for?
It's designed for Middle School (ages 11–14), covering Number theory.
Does it come with an answer key?
Yes — a matching answer key is included so you can grade it in seconds.
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