Derive the Dimensional Formula of Universal Constant of Gravitation?

Universal Constant of Gravitation is represented by G and is derived from Newton’s law of gravitation. Newton’s law states that
F=(Gm₁m₂)/r²
So
G=(Fr²)/m₁m₂

Where F is Force between masses m₁, m₂ at a distance r

Dimensional Formula of Force= M¹L¹T^-2

Thus
Dimensional Formula of Universal Constant of Gravitation= (M¹L¹T^-2 x L²)/(M¹ x M¹)

Dimensional Formula of Universal Constant of Gravitation = M^-1L³T^-2
SI unit of Universal Constant of Gravitation is Nm²kg^-2

or

Dimensional Formula of Gravitational constant = M^-1L³T^-2