Question

Huixian needs to pack 171 pens 63 pencils and 27 erasers into identical gift bags so that each item is equally distributed among gift bags.find the largest number of gift bags can be packed

Answer 1

Answer:

The largest number of gift bags that can be packed is:

9

Step-by-step explanation:

To find The largest number of gift bags that can be packed, we need to find the greatest common divisor of these numbers.

Listing the prime factorization's for each number:

171 = 3 x 3 x 19

63 = 3 x 3 x 7

27 = 3 x 3 x 3

As we can clearly see from the prime factorization the greatest common factor of these numbers is 9(3×3)

The largest number of gift bags that can be packed is:

9

Answer 2

To find The largest number of gift bags that can be packed, you will need to find the biggest way all three of these numbers can be divided evenly. You can find this answer by finding the greatest common factor.

I will show this by listing the prime factorization's for each number, and then we will look for all the common factors.

171 = 3 x 3 x 19
63 = 3 x 3 x 7
27 = 3 x 3 x 3

All three lists share two 3s. The means that the biggest way they could be divided is into nine bags (3 x 3).