  We undertake experimental detection of the entanglement present in arbitrary
three-qubit pure quantum states on an NMR quantum information processor.
Measurements of only four observables suffice to experimentally differentiate
between the six classes of states which are inequivalent under stochastic local
operation and classical communication (SLOCC). The experimental realization is
achieved by mapping the desired observables onto Pauli $z$-operators of a
single qubit, which is directly amenable to measurement. The detection scheme
is applied to known entangled states as well as to states randomly generated
using a generic scheme that can construct all possible three-qubit states. The
results are substantiated via direct full quantum state tomography as well as
via negativity calculations and the comparison suggests that the protocol is
indeed successful in detecting tripartite entanglement without requiring any
{\it a priori} information about the states.
