WASHINGTON -- Gio Gonzalez won his third straight start with eight scoreless innings and third baseman Ryan Zimmerman had four hits and three RBIs as the Washington Nationals erupted for six runs in the third inning of a 13-0 victory over the transitioning Chicago Cubs on Saturday.

Washington (47-39) won for the sixth time in seven games and is a season-high eight games above .500.

Right fielder Jayson Werth and (three RBIs) and second baseman Anthony Rendon (two RBIs, three doubles) banged out three hits and shortstop Ian Desmond (two RBIs) and catcher Wilson Ramos added two hits for the Nationals, who smashed out 19 hits, including eight doubles but no homers.

Every starter, including Gonzalez, had at least one hit, as did reserve Kevin Frandsen. It was the largest margin of victory by shutout in franchise history and tied the biggest winning margin ever for the Nationals.

The Cubs (38-47) had their four-game winning streak come to an abrupt end just hours after the team traded away veteran pitchers Jason Hammel and Jeff Smardzija, who was originally slated to start Saturday against the Nationals.

Gonzalez (6-4), who gave up four hits, extended his scoreless inning streak to 21 in his last three games before he was lifted for a pinch hitter in the eighth. The lefty, using a sweeping curve to go with a fastball in the low 90s, had seven strikeouts and one walk.

Gonzalez gave up three singles in the second but was aided by a caught stealing. He allowed just one hit the rest of the way and also smashed a line single to left in the seventh inning.

"He has been very good with his off-speed pitches," Washington manager Matt Williams said. "His fastball has come up a little bit. He has been very good with his curveball early in the game."

The Nationals scored six runs in the third to take a 7-0 lead against the Cubs. Rendon and Werth had RBI doubles to chase starter and loser Carlos Villanueva (4-6), who gave up five hits and three runs in two innings plus three batters.

Zimmerman smashed an RBI double against reliever Chris Rusin, just called up from Triple-A Iowa, and first baseman Adam LaRoche scored on a wild pitch by Rusin. Desmond added an RBI single and Ramos drove in a run with a long single off the scoreboard in right center.

Desmond had an RBI single in the second to give the Nationals a 1-0 lead. Desmond entered the game with 51 RBIs, the most among major league shortstops.

Washington built its lead to 9-0 in the sixth on an RBI double by Werth and RBI single by LaRoche.

The Nationals piled it on the seventh as Rendon had an RBI double and Frandsen added an RBI single to make it 11-0, and then Zimmerman doubled in two more for a 13-0 bulge.

Villanueva was making his fifth start of the year and first since April 25. He was a last-minute fill-in for Samardzija, who was 2-7 with a 2.83 ERA before he was traded by the Cubs. Villanueva entered the game 4-5 with a 5.91 ERA and was making the 76th start of his career and his 371st overall appearance.

Rusin gave up nine hits and five innings in 3 2/3 before Justin Grimm came on with two outs in the sixth for the Cubs.

Craig Stammen pitched the ninth for the Nationals and put the Cubs out of their misery for at least one day.

NOTES: The Cubs officially announced the trade of starting RHPs Jason Hammel and Jeff Samardzija to the Oakland A's for RHP Dan Straily, who has big league time, and prospects SS Addison Russell and OF Billy McKinney. Russell and McKinney, respectively, were the top two prospects in the A's system, according to Baseball America, before this season. Russell was hitting .333 in 48 at-bats for Double-A Midland of the Texas League and McKinney was hitting .241 in 290 at-bats with 10 homers for Class A Stockton of the California League. Straily pitched in 24 big-league games in 2013 and was 4-3 with a 4.71 ERA with Triple-A Sacramento in 10 starts this year. ... The Cubs also called up LHP Chris Rusin from Triple-A Iowa, where he threw a no-hitter May 7 in New Orleans. ... The starting pitchers for the series finale on Sunday are Washington RHP Jordan Zimmermann (6-4, 2.95 ERA) against RHP Jake Arrieta (5-1, 1.81) for the Cubs. ... Cubs SS Starlin Castro had 97 hits going into Saturday's game, which ranked second among National League shortstops behind Troy Tulowitzki of the Colorado Rockies. Castro had a two-run single in the ninth inning Friday to pad the Cubs' lead against Washington in a 7-2 win. ... Nationals OF Jayson Werth was 6-for-10 with two homers, three doubles and six RBIs in his previous three games before Saturday. ... Dave LaRoche, the father of Nationals 1B Adam LaRoche, pitched for the Cubs in 1973-74.