Answer:
2
Step-by-step explanation:
Oscar needs to pack only one type of cd in each box and he must pack the same number of cd's in each box.
To solve this problem we would need to find the greatest common factor of the numbers given; the numbers that we have are 14, 12, 8.
First we are going to find the factors of all these three numbers:
14 = 1 x 2 x 7
12 = 1 x 2 x 2 x 3
8 = 1 x 2 x 2 x 2
The common factors of these three numbers are bolded:
14 = 1 x 2 x 7
12 = 1 x 2 x 2 x 3
8 = 1 x 2 x 2 x 2
We can see that the common factors are 1 and 2. The biggest of them is 2.
Therefore, the greatest number of cd's Oscar can pack in each box is 2
Since 2 is common to them all, hence the greatest number of cds oscar can pack in each box is 2 CDs
Given the number of cars needed to ship 14 rock CDs, 12 classical CDs, and 8 pop CDs
In order to get the greatest number of cds oscar can pack in each box, we will have to calculate the GCF of each value as shown:
The prime factors of each value is as shown
14 = 2 * 7
12 = 3 * 2 * 2
8 = 2 * 2 * 2
From the factors, we can see that only 2 is common to them all, hence the greatest number of CDs oscar can pack in each box is 2 CDs
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