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Harold has just moved to a new town and wants to share plates of baked goods with his neighbors. He has $20$ cookies and $10$ brownies to share, and wants to split them equally among the plates with no food left over. What is the greatest number of plates he can make to share? $\newline$ $\_\_\_\_\_\_\_$ plates

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GCF and LCM: word problems

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Q. Harold has just moved to a new town and wants to share plates of baked goods with his neighbors. He has

20

cookies and

10

brownies to share, and wants to split them equally among the plates with no food left over. What is the greatest number of plates he can make to share?

\newline

\_\_\_\_\_\_\_

plates

Determine GCF: Step $1$ : Determine the greatest common factor (GCF) of the number of cookies and brownies to find the maximum number of identical plates.
Calculate per plate: Step $2$ : Calculate the number of cookies and brownies per plate using the GCF.

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