حرامزاده (Classical Persian) comes from Persian زاده, from Middle Persian zʾtk', from Old Persian zāta, from Proto-Indo-Iranian ȷ́aHtás, from Proto-Indo-European ǵn̥h₁tós, from Proto-Indo-European ǵenh₁- — to produce, to beget, to give birth.
Ancestry of “حرامزاده”, step by step
حرامزاده traces back through two separate lines of ancestry.