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Camilla is creating lollipop bouquets using $20$ cherry lollipops and $15$ orange lollipops. She wants each bouquet to be identical, with no lollipops left over. What is the greatest number of lollipop bouquets Camilla can create? $\newline$ _____ bouquets

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GCF and LCM: word problems

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Q. Camilla is creating lollipop bouquets using

20

cherry lollipops and

15

orange lollipops. She wants each bouquet to be identical, with no lollipops left over. What is the greatest number of lollipop bouquets Camilla can create?

\newline

_____ bouquets

Find GCD: Determine the greatest number of identical bouquets. We need to find the greatest common divisor (GCD) of the number of cherry and orange lollipops.
Calculate GCD of $20$ and $15$ : Calculate the GCD of $20$ and $15$ . List the divisors: $\newline$ $20$ : $1$ , $2$ , $4$ , $5$ , $10$ , $20$ $\newline$ $15$ : $1$ , $15$ $1$ , $5$ , $15$ $\newline$ Common divisors are $1$ and $5$ , so the GCD is $5$ .
Determine maximum bouquets: The greatest number of bouquets Camilla can create is $5$ , since each bouquet will have an equal number of cherry and orange lollipops without any leftovers.

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