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Troy is a dental sales representative who wants to distribute $18$ brochures and $12$ pamphlets to local dental offices. He wants to deliver the same combination of brochures and pamphlets to each office, without having any materials left over. What is the greatest number of dental offices Troy can distribute materials to? $\newline$ _____ offices

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GCF and LCM: word problems

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Q. Troy is a dental sales representative who wants to distribute

18

brochures and

12

pamphlets to local dental offices. He wants to deliver the same combination of brochures and pamphlets to each office, without having any materials left over. What is the greatest number of dental offices Troy can distribute materials to?

\newline

_____ offices

Identify Need: Identify the need to find the greatest common divisor (GCD) to determine the maximum number of offices that can receive the same combination of brochures and pamphlets.
List Factors: List the factors of $18$ and $12$ to find the GCD. $\newline$ $18$ : $1$ , $2$ , $3$ , $6$ , $9$ , $18$ $\newline$ $12$ : $1$ , $2$ , $3$ , $12$ $3$ , $6$ , $12$ $\newline$ Common factors: $1$ , $2$ , $3$ , $6$ $\newline$ The GCD is $6$ .

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