The value of universal gravitational constant $G=6.67\times {10}^{-11} N m^{2}k{g}^{-2}$. The value of $G$ in units of $g^{-1}c{m}^3 s^{-2}$ is

$$\begin{gathered} G=6.67\times {10}^{-11}N m^2 k{g}^{-2} \\ =6.67\times {10}^{-11}\times \left(kg m s^{-2}\right) \left(m^2\right) {\left(kg\right)}^{-2} \\ =6.67\times {10}^{-11}\times \left[\left(1000 g\right)\times \left(100 cm\right)\times s^{-2}\right] {\left(100 cm\right)}^2 {\left(1000 g\right)}^{-2} \\ =6.67\times {10}^{-8}{g}^{-1}c{m}^3 s^{-2} \end{gathered}$$