The value of gravitational constant 'G' in the cgs unit is equal to :

The SI unit of the Gravitational constant is $G= 6.67 \times {10}^{-11} N k{g}^{-2}{m}^2$

We know that the unit of force in the cgs system is dyne, and the unit of mass is a gram.

The length unit is centimeters.

$1Newton = {10}^{5 } dyne,$ 

 $1metre = 100 centimeters$, and

 $1kilogram = 1000gram$

Using appropriate conversions,

$G= 6.67 \times {10}^{-11} N k{g}^{-2}{m}^2$

$\Rightarrow G= 6.67 \times {10}^{-11} ( {10}^5 dyne) \times {\left(1000g\right)}^{-2}\times {\left(100cm\right)}^2$

$\Rightarrow G = 6.67 \times {10}^{-8 }dyne g^{-2}c{m}^2$

Hence, the gravitational constant in the cgs unit equals $6.67 \times {10}^{-8 }dyne g^{-2}c{m}^2$.