pdf GCF And LCM Story Problems

This worksheet reinforces Greatest Common Factor (GCF) and Least Common Multiple (LCM) through engaging real-world story problems that require students to analyze situations, choose the correct strategy, and solve accurately.

Students must first identify whether GCF or LCM is appropriate for each scenario before solving, helping them move beyond procedural computation and into conceptual understanding. Contexts include grouping items evenly, scheduling events, matching quantities, and recurring cycles—situations where students commonly confuse GCF and LCM.

Clear directions guide students to recognize key problem structures:

• Dividing into equal groups → GCF

• Finding when events align or quantities match → LCM

This resource works well as classwork, homework, small-group practice, or assessment prep for factor and multiple concepts.

Skills Assessed

• Identifying when to use GCF vs. LCM

• Finding the greatest common factor of multiple numbers

• Finding the least common multiple of two numbers

• Solving real-world word problems involving factors and multiples

• Interpreting and justifying solutions in context

Details

• Pages: 4

• Problems: 7 story problems

• Answer Key: Included

ID# 0259