Question

There are 527 pencils 646 erasers 748 sharpeners there are to be put in seperate packets containing the same number of items find the maximum number of the items possible in each packet

Answer 1

Step 1

Find the Greatest Common Factor (GCF)

the prime factorization of each number is equal to

$527=17*31\\ 646=2*17*19\\ 748=2^{2} *11*17$

The GCF is 17

That means that the maximum number of packets is 17 and the maximum number of the items possible in each packet is

Number of pencils=527/17=31 pencils in each packet

Number of erasers=646/17=38 erasers in each packet

Number of sharpeners=748/17=44 sharpeners in each packet