
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” to get the PDF — free with a KiwiBee account (up to 50 downloads a month).
- 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 a free KiwiBee account to download the PDF — it includes up to 50 downloads a month.
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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