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Candice wants to create snack bags for a trip she is going on. She has $12$ granola bars and $9$ pieces of dried fruit. If the snack bags should be identical without any food left over, what is the greatest number of snack bags Candice can make? $\newline$ $\_\_\_$ bags

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GCF and LCM: word problems

Full solution

Q. Candice wants to create snack bags for a trip she is going on. She has

12

granola bars and

9

pieces of dried fruit. If the snack bags should be identical without any food left over, what is the greatest number of snack bags Candice can make?

\newline

\_\_\_

bags

Identify Need: Identify the need to find the greatest common divisor ( $\text{GCD}$ ) to determine the maximum number of identical snack bags.
List Factors: List the factors of $12$ and $9$ to find the GCD. $\newline$ $12$ : $1$ , $2$ , $3$ , $4$ , $6$ , $12$ $\newline$ $9$ : $1$ , $3$ , $9$ $\newline$ Common factors are $1$ and $3$ .
Find GCD: The greatest common factor of $12$ and $9$ is $3$ . This means Candice can make $3$ snack bags.

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