Question

Liam has 63 pencils, Noah has 49 pencils, and Michael has 77 pencils. Use the GCF and the Distributive Property to find the total number of pencils Liam, Noah, and Michael have. Write each number as a product using the GCF as a factor, and apply the Distributive Property. 63 +49 + 77

Answer 1

`\begin{gathered} \text{Liam 63 pencils} \\ \text{Noah 49 pencils} \\ \text{Michael 77 pencils} \end{gathered}`
`\begin{gathered} \text{greatest common factors:} \\ 63\Rightarrow1,3,7,9,21,63 \\ 49\Rightarrow1,7,49 \\ 77\Rightarrow1,7,11,77 \end{gathered}`
`\begin{gathered} As\text{ you can se}e,\text{ the GCF is 7. Hence,} \\ 63+49+77=7(9+7+11) \\ \text{ =7(27}) \\ \text{ =}189 \end{gathered}`