
gewinnen
to win
To be successful in a competition, game, fight, or election and emerge as the winner.
Unsere Mannschaft hat das Finale mit 3:1 gewonnen.
Our team won the final 3–1.
to win / gain
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to win
To be successful in a competition, game, fight, or election and emerge as the winner.
Unsere Mannschaft hat das Finale mit 3:1 gewonnen.
Our team won the final 3–1.

to obtain / extract
To obtain, produce, or procure something through a process or through effort.
Aus den Solarzellen wird Energie für das ganze Haus gewonnen.
Energy for the whole house is obtained from the solar panels.

to gain in
To receive or increase a particular quality or value to a greater degree.
Durch die Renovierung hat das Haus deutlich an Wert gewonnen.
Through the renovation, the house has gained significantly in value.

to win someone over
To convince someone to take part in something, support an idea, or share an opinion.
Es war nicht leicht, die Investoren für das neue Projekt zu gewinnen.
It was not easy to win the investors over for the new project.
In the meaning 'siegen' (to win), 'gewinnen' (to win) can be used with or without an accusative object. You can simply say 'gewinnen' (to win), or say what was won.
Unsere Mannschaft hat gewonnen!
Our team won!
When something is produced or extracted, the structure 'etwas (Akkusativ) aus etwas (Dativ) gewinnen' (to obtain/extract something from something) often follows. This describes the origin or raw material.
In dieser Region wird Salz aus dem Meerwasser gewonnen.
In this region, salt is extracted from seawater.
The construction 'gewinnen an' + dative expresses an increase in a quality or value. Typical nouns here are 'Bedeutung' (importance), 'Wert' (value), 'Einfluss' (influence), or 'Attraktivität' (attractiveness).
Die Stadt hat durch den neuen Park an Attraktivität gewonnen.
The city has gained in attractiveness because of the new park.
When you convince someone, the fixed structure is: 'jemanden (Akkusativ) für etwas (Akkusativ) gewinnen' (to win someone over for something). You win a person over for an idea, a project, or a task.
Wir konnten ihn als neuen Sponsor für unser Team gewinnen.
We were able to win him over as a new sponsor for our team.
to earn / deserve
Gewinnen and verdienen can refer to gaining recognition or respect after a good performance. Gewinnen emphasizes that one actually receives this recognition, whereas verdienen expresses that one is worthy of it because of one's performance. Use gewinnen for the success achieved and verdienen for being justifiably worthy of the recognition.

Durch ihre ruhige Hilfe gewann sie die Anerkennung des ganzen Teams.
Through her calm assistance, she won the recognition of the entire team.
Durch ihre ruhige Hilfe verdiente sie die Anerkennung des ganzen Teams.
Through her calm assistance, she earned the recognition of the entire team.