Gofraid mac Amlaíb meic Ragnaill was a late eleventh-century King of Dublin. Although the precise identities of his father and grandfather are uncertain, Gofraid was probably a kinsman of his royal predecessor, Echmarcach mac Ragnaill, King of Dublin and the Isles. Gofraid lived in an era when control of the Kingdom of Dublin was fought over by competing Irish overlords. In 1052, for example, Echmarcach was forced from the kingdom by the Uí Chennselaig King of Leinster, Diarmait mac Maíl na mBó. When the latter died in 1072, Dublin was seized by the Uí Briain King of Munster, Toirdelbach Ua Briain, a man who either handed the Dublin kingship over to Gofraid, or at least consented to Gofraid's local rule.

Echmarcach mac Ragnaill was a dominant figure in the eleventh-century Irish Sea region. At his height, he reigned as king over Dublin, the Isles, and perhaps the Rhinns of Galloway. The precise identity of Echmarcach's father, Ragnall, is uncertain. One possibility is that this man was one of two eleventh-century rulers of Waterford. Another possibility is that Echmarcach's father was an early eleventh-century ruler of the Isles. If any of these identifications are correct, Echmarcach may have been a member of the Uí Ímair kindred.