To find the largest number of bouquets she can make without having any flowers left over, we need to find the greatest common divisor (GCD) of 36, 27, and 18.
The prime factorization of 36 is 2^2 * 3^2 * 1.
The prime factorization of 27 is 3^3.
The prime factorization of 18 is 2 * 3^2.
To find the GCD, we take the smallest exponent for each prime factor.
The smallest exponent for 2 is 2.
The smallest exponent for 3 is 2.
So, the GCD is 2^2 * 3^2 = 4 * 9 = 36.
Therefore, the largest number of bouquets she can make without having any flowers left over is 36 bouquets.
A florist has 36 roses, 27 tulips, and 18 carnations she must use to create bouquets. Each bouquet must have an equal number of each type of flower as the other bouquets. What is the largest number of bouquets she can make without having any flowers left over? (1 point) Responses 36 bouquets 36 bouquets 6 bouquets 6 bouquets 3 bouquets 3 bouquets 9 bouquets
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