Will is decorating papers with a total of $45$ heart stickers and $27$ star stickers for the child he is babysitting. If he wants to make all the papers identical, with the same combination of heart and star stickers and no stickers left over, what is the greatest number of pages Will can decorate?

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Grade 6

GCF and LCM: word problems

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Q. Will is decorating papers with a total of

45

heart stickers and

27

star stickers for the child he is babysitting. If he wants to make all the papers identical, with the same combination of heart and star stickers and no stickers left over, what is the greatest number of pages Will can decorate?

Find GCF: We need to find the greatest number of pages. To do this, we need the greatest common factor (GCF) of $45$ and $27$ .
List Factors: List the factors of $45$ and $27$ . $45$ : $1$ , $3$ , $5$ , $9$ , $15$ , $45$ $27$ : $1$ , $3$ , $9$ , $27$
Identify Common Factors: Identify the common factors. Common factors: $1$ , $3$ , $9$
Calculate GCF: The greatest common factor is $9$ . So, the greatest number of pages Will can decorate is $9$ .