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Mrs. Campbell, the science teacher, collected $8$ sedimentary rocks and $12$ metamorphic ones. Now she wants to create some identical kits for studying rocks, without having any rocks left over. What is the greatest number of kits she can create? $\newline$ _____kits

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GCF and LCM: word problems

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Q. Mrs. Campbell, the science teacher, collected

8

sedimentary rocks and

12

metamorphic ones. Now she wants to create some identical kits for studying rocks, without having any rocks left over. What is the greatest number of kits she can create?

\newline

_____kits

Identify Need: Identify the need for the greatest common factor (GCF) to distribute rocks equally into kits.
Calculate GCF: Calculate the GCF of $8$ sedimentary rocks and $12$ metamorphic rocks. Factors of $8$ : $1$ , $2$ , $4$ , $8$ . Factors of $12$ : $1$ , $2$ , $12$ $0$ , $4$ , $12$ $2$ , $12$ . The common factors are $1$ , $2$ , $4$ . The highest is $4$ .
Conclude Solution: Conclude that Mrs. Campbell can create $4$ kits, each with $2$ sedimentary rocks and $3$ metamorphic rocks, as $8$ divided by $4$ equals $2$ , and $12$ divided by $4$ equals $3$ .

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