The value of the gravitational constant, G is

We know that according to the law of gravitation, the gravitational force between any two bodies that have some mass is given as:

${\text{F}}_{ }=\text{G}.\frac{{\text{m}}_{\text{1}}{\text{m}}_{\text{2}}}{{\text{r}}_{ }^2}$
Where m₁ and m₂ are the masses of the two bodies, r is the distance between them and G is the universal gravitation constant.

The value of the gravitational constant is equal to the gravitational force between the two objects having masses of 1kgs and placed 1metre apart from each other.
$\text{G}=\frac{{\text{Fr}}^{\text{2}}}{{\text{m}}_{\text{1}}{\text{m}}_{\text{2}}}$ 

${\text{if m}}_{\text{1}}={\text{m}}_{\text{2}}=1\text{kg}$

$\text{r}=1\text{m}$

$\text{then G}=\text{F}$

$\text{Here F is }6.67\times {10}^{-11}\text{N}$

$\text{G}=6.67\times {10}^{-11}{\text{Nm}}^{\text{2}}{\text{/kg}}^{\text{2}}$