How come all bodies sliding down a frictionless inclined plane have same acceleration?

all bodies have same acceleration while coming down from an inclined plane because in such type of case acceleration does not depends upon mass....acceleration can be given as a=gsinθ......θ(theta) is the angle of the inclined plane. g is the acceleration due to gravity or 9.81 m/s2.

*Note: the acceleration due to gravity is actually based on the mass of both bodies and the square of the distance between their centers. While this means that gravity (acceleration) is not equal for all bodies, the mass of the Earth is so much greater than any measurable bodies, that can move down the inclined plane. The mass of the body is negligible in comparison and thus the change in acceleration due to gravity is likewise negligible, and generally not measurable. If a mass the size of the moon were moving down the inclined plane, then that would definitely indicate a greater acceleration.

F = m1m2/r2. Where F = force of gravity, m1 = mass of body 1, m2 = mass of body 2, and r = the distance between the bodies.