|Date of birth||14 July 1944|
|Place of birth||Meknes, Morocco|
|Year of aliyah||1964|
|Faction represented in Knesset|
|1977–1978||Democratic Movement for Change|
Born in Meknes in Morocco, Elgrably received a religious education and was a member of the scout movement. He made aliyah to Israel in 1964, and studied economics and mathematics at the Hebrew University of Jerusalem, gaining an MA.
He became chairman of the Oded movement in 1969, and worked as Deputy Director of Planning in the Ministry of Education and Culture between 1971 and 1977.
In 1977 he joined the new Democratic Movement for Change (Dash) party, and was elected to the Knesset on its list in the elections that year. When the party split in 1978 he joined the Democratic Movement faction, but on 5 February 1980 left to sit as an independent. On 19 May the following year he joined Saadia Marciano's Equality in Israel - Panthers faction, which was renamed the Unity Party. He lost his seat in the June 1981 elections when the party failed to cross the electoral threshold.
- Mergers and Splits Among Parliamentary Groups Knesset website
- Mordechai Elgrably on the Knesset website