  Quantum contextuality is the key concept which explains the fact that the
result of a measurement is not independent of the context in which it is found.
It is observed to be an intrinsic feature, i.e., neither entanglement nor
spatial separation is required. In this work, we revisit the previous studies
which state that entanglement is an intrinsic property called
self-entanglement. Using this fact, we explicitly show the correlation between
quantum contextuality and concurrence in the KCBS scenario, which is the
simplest approach to observing contextuality. We also derive the equation for
the maximal violation of the KCBS scenario for a given concurrence and find the
linear relation between them. Using this relation, we also show how the maximal
violations of the KCBS and CHSH inequalities are related for an arbitrary
entanglement. Moreover, we discuss the special cases of maximal entanglement,
and non-entanglement for which we have found a lower local bound.
