Senator Bernie Sanders of Vermont has cut into Hillary Clinton’s lead in the Democratic presidential race by more than two dozen delegates, based on new data from Washington State, while Mrs. Clinton won the Guam caucuses on Saturday.

Mr. Sanders handily won the Washington caucuses on March 26, taking 25 of the 34 delegates awarded that day. An additional 67 delegates could not be divided up until the state party released vote data broken down by congressional district.

District-level data provided to The Associated Press on Saturday showed that Mr. Sanders would pick up 49 of those delegates, while Mrs. Clinton would receive 18.

Still, even with the additional delegates, Mr. Sanders’s mathematical chances of winning the nomination have not improved.