# How do you find the GCF of 30gh^2, 42g^2h, 66g?

Mar 22, 2017

See the entire solution process below:

#### Explanation:

Each of these terms can be rewritten as:

$30 g {h}^{2} = \textcolor{red}{2} \times \textcolor{b l u e}{3} \times 5 \times \textcolor{g r e e n}{g} \times h \times h$

$42 {g}^{2} h = \textcolor{red}{2} \times \textcolor{b l u e}{3} \times 7 \times \textcolor{g r e e n}{g} \times g \times h$

$66 g = \textcolor{red}{2} \times \textcolor{b l u e}{3} \times 11 \times \textcolor{g r e e n}{g}$

All the common terms or therefore the GCF are:

$\textcolor{red}{2} \times \textcolor{b l u e}{3} \times \textcolor{g r e e n}{g} = 6 g$