Why did we do takbir three times during Eid ul-Fitr prayer?

Yesterday, we went to the mosque to perform Eid ul-Fitr salat prayer, which occurred between fajr (dawn prayer) and zuhr (noon prayer). For some reason, we performed takbir three times at various points during salat. I've never encountered this before, not even at other nearby mosques. **Question**: Why did we do takbir three times during Eid ul-Fitr prayer? In case it matters, it was at the Xining Road Mosque in Tianjin, China (西宁道清真寺 ) which would mostly be Hui Muslims , which I find generally follow the Sunni Hanafi Madhhab (see Gedimu ).