Question

Kara has 90 lollipops, 36 chocolate bars, and 72 gumballs to put in goody bags for her party. What is the largest number of goody bags that Kara can make so that each goody bag has the same number of lollipops, the same number of chocolate bars, and the same number of gumballs?

Answer 1

the greatest common factor of 90, 36, and 72 = 18

90/18 = 5 lollipops
36/18 = 2 chocolate bars
72/18 = 4 gumballs

answer : Kara can make 18 goody bags, each containing 5 lollipops, 2 chocolate bars, and 4 gumballs

Answer 2

The largest number of goody bags that Kara can make are $18$ .

What is Highest Common Factor ?

Highest or greatest Common Factor is the largest common factor that all the numbers have in common.

We have,

Number of Lollipops $=90$

Number of chocolate bars $=36$

Number of gumballs $=72$

So,

To find the number of bags;

First find out the Highest Common Factor of $90,36,72$;

$90=2*3*3*5$

$36=2*2*3*3$

$72=2*2*2*3*3$

So, from the factors of all numbers we have,

Highest Common Factor $=18$

Now,

Lollipops $=\frac{90}{18} =5$

Chocolate bars $=\frac{36}{18} =2$

Gumballs $=\frac{72}{18} =4$

So, the largest number of goody bags that Kara can make are $18$ so that each goody bag has $5$ number of lollipops, $2$ number of chocolate bars, and $4$ number of gumballs.

Hence, we can say that the largest number of goody bags that Kara can make are $18$ .

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