Question: A music store wants to create a display featuring its instruments. However, the owner wants the same number of each kind of instrument in tight

A music store wants to create a display featuring its instruments. However, the owner wants the same number of each kind of instrument in tight clusters and wants all of the clusters to be the same size regardless of instrument. If the owner has

12

of instrument A

, 18

of instrument B

,

and

27

of instrument C

,

what is largest cluster size that can be made of all of the same instrument for the displays while ensuring that all instruments are used in equal group sizes?

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