Tim has $39$ pairs of headphones and $13$ music players. Tim wants to sell all of the headphones and music players in identical packages. What is the greatest number of packages Tim can make?

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Solution

Find the greatest number of packages:
Given : Total number of headphones $= 39$
Total number of music players $= 13$
To sell all of the headphones and music players in identical packages, number of packages Tim can make $=$ Greatest common factor of $39$ and $13$
Now, factors of $13 = 1, 13$
And factors of $39 = 1, 13, 39$
Now, greatest common factor of $13$ and $39$ is $13$
Hence, the greatest number of packages Tim can make is $13$ .

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Tim has 39 pairs of headphones and 13 music players. Tim wants to sell all of the headphones and music players in identical packages. What is the greatest number of packages Tim can make?

Tim has $39$ pairs of headphones and $13$ music players. Tim wants to sell all of the headphones and music players in identical packages. What is the greatest number of packages Tim can make?