Amy is creating party favors with pencils and stickers. She has 180 pencils and 396 stickers, and wants each party favor to include the same combination of pencils and stickers, with none left over. What is the greatest number of party favors she can make?
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Giải thích các bước giải:
The number of party favors is common divisor(180;396)
But we must find the greatest number of party favors ⇒the greatest number of party favors is most grand common divisor(180;396)
We have: 180=2^2·3^2·5
396=2^2·3^2·11
⇒most grand common divisor(180;396)=2^2·3^2=36
⇒the greatest number of party favors Amy can make is 36
good luck