Updates with refinery utilization figure in paragraph 5, price reactions in paragraphs 3, 7, 9

HOUSTON, July 1 (Reuters) - Crude and gasoline inventories fell last week as domestic refinery demand rose, while distillate stocks rose, the Energy Information Administration said on Wednesday.

Crude inventories fell by 3.8 million barrels to 408.4 million barrels last week, the EIA said, compared with analysts' expectations in a Reuters poll for a 4.5 million-barrel draw.

Crude stocks at the Cushing, Oklahoma, delivery hub USOICC=ECI rose by 709,000 barrels in the week ended June 26, the EIA said.

Brent futures LCOc1 extended losses and fell by 1.6% while U.S. crude futures CLc1 were little changed and were down around 1% after the smaller-than-expected drop in crude stocks.

Refinery crude runs USOICR=ECI rose by 85,000 barrels per day.

Refinery utilization rates USOIRU=ECI rose by 0.5 percentage points in the week to 96.6%.

U.S. gasoline stocks USOILG=ECI fell by 2.3 million barrels in the week to 214 million barrels, the EIA said, compared with analysts' expectations in a Reuters poll for a 1 million-barrel draw.​

U.S. gasoline futures RBc1 extended gains and were up 1.1% after the data showed the larger-than-expected draw in U.S. gasoline stocks.

Distillate stockpiles USOILD=ECI, which include diesel and heating oil, rose by 2.5 million barrels in the week to 108.6 million barrels, versus expectations for a 0.5 million-barrel drop.

U.S. diesel futures HOc1 pared gains and rose around 0.4% after the data showed the surprise build in distillate stocks.

Net U.S. crude imports USOICI=ECI rose last week by 370,000 barrels per day, EIA said.