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Connor is making trail mix out of $6$ bags of nuts and $9$ bags of dried fruit. He wants each new portion of trail mix to be identical, containing the same combination of bags of nuts and bags of dried fruit, with no bags left over. What is the greatest number of portions of trail mix Connor can make? $\newline$ _____ portions

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GCF and LCM: word problems

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Q. Connor is making trail mix out of

6

bags of nuts and

9

bags of dried fruit. He wants each new portion of trail mix to be identical, containing the same combination of bags of nuts and bags of dried fruit, with no bags left over. What is the greatest number of portions of trail mix Connor can make?

\newline

_____ portions

Determine GCF: Step $1$ : Determine the greatest number of portions Connor can make by finding the greatest common factor (GCF) of the number of bags of nuts and dried fruit.
Calculate Portions: Step $2$ : Calculate the number of portions Connor can make using the GCF.

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