* Brent oil jumps $2 to above $77, highest since 2014
* U.S. crude stocks fall 2.2 mln barrels last week -EIA
* U.S. sanctions likely to cut Iran oil supplies next year
* Saudi Arabia, Kuwait say may work to lessen market impact (Updates to market settle, adds commentary)
By Stephanie Kelly
NEW YORK, May 9 (Reuters) - Oil prices rose about 3 percent on Wednesday and hit fresh 3-1/2 year highs after a bigger-than-expected drawdown in U.S. oil inventories extended gains from the United States' decision to quit a nuclear deal with Iran.
Ignoring pleas by allies, U.S. President Trump on Tuesday pulled out of a 2015 international deal with Iran and announced the "highest level" of sanctions against the OPEC member, making investors nervous about rising risks of conflict in the Middle East and about oil supplies in a tight market.
News of the deal prompted a volatile trading session on Tuesday in the heaviest volumes for front-month U.S. crude futures since Nov. 30, 2016.
The United States will likely re-impose sanctions against Iran after 180 days, unless some other agreement is reached.
Brent crude futures rose $2.36, or 3.2 percent, to settle at $77.21 a barrel. The global benchmark hit a session high of $77.43, the highest since November 2014. U.S. West Texas Intermediate (WTI) crude futures rose $2.08 to settle at $71.14 a barrel, a 3-percent gain.
Both contracts notched their biggest daily percentage gain in a month.
Prices extended gains after U.S. Energy Information Administration data showed domestic crude inventories fell 2.2 million barrels in the latest week, far exceeding forecasts for a decrease of 719,000 barrels.
Net U.S. crude imports fell last week by 955,000 barrels per day to 5.4 million bpd, the lowest since mid-February, the EIA data showed.
U.S. gasoline futures hit a high of $2.1701 a gallon, the highest since Hurricane Harvey sent prices surging in August. U.S. heating oil futures surged to $2.2258 a gallon, the highest since February 2015.
"A whopping drop in imports has resulted in a moderate draw to crude stocks, while a drop in both gasoline and distillates inventories round out a broadly supportive report," said Matt Smith, director of commodity research at ClipperData.
Oil ministers from Saudi Arabia and Kuwait said their countries will work closely with major OPEC and non-OPEC producers to lessen the impact of any supply shortages after U.S. withdrawal from the Iran nuclear deal.
Iran re-emerged as a major oil exporter in 2016 after international sanctions against it were lifted in return for curbs on its nuclear program. The country, the third-biggest producer of crude within the Organization of the Petroleum Exporting Countries, exported about 2.6 million barrels per day (bpd) in April.
Analysts' estimates of the possible reduction in Iranian crude supplies as a result of any new U.S. sanctions range from 200,000 bpd to 1 million bpd.
Investment bank Goldman Sachs said in a note that Trump's announcement brought upside risks to its forecast that Brent crude will hit $82.50 a barrel by the summer.
Several refiners in Asia said they were seeking alternatives to Iranian supplies.
A number of countries have already cut reliance on Iranian oil, as well as other "traditional" sources of supply, due to a surge in cheaper U.S. crude exports.
Volumes jumped for all key crude oil futures contracts as investors took new positions and refiners hedged to protect themselves from higher feedstock prices.
Additional reporting by Christopher Johnson in London, Henning Gloystein in Singapore and Osamu Tsukimori in Tokyo Editing by David Gregorio and Marguerita Choy