
gemein
mean
Malicious, unfair, or hurtful toward other people.
Es war gemein von dir, deinem kleinen Bruder das Spielzeug wegzunehmen.
It was mean of you to take the toy away from your little brother.
mean / common
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mean
Malicious, unfair, or hurtful toward other people.
Es war gemein von dir, deinem kleinen Bruder das Spielzeug wegzunehmen.
It was mean of you to take the toy away from your little brother.

common
Shared; something that belongs to or is characteristic of several people or things. This meaning is rather rare and formal today.
Die beiden Unternehmen haben ein gemeines Interesse am Erfolg des Projekts.
The two companies have a common interest in the success of the project.

common / lowly
Simple, ordinary, or of low social status. This meaning is outdated.
Das gemeine Volk versammelte sich auf dem Marktplatz.
The common people gathered in the marketplace.
In modern everyday language, 'gemein' (mean) almost always means 'malicious,' 'unfair,' or 'hurtful.' It describes negative behavior toward others.
Hör auf, so gemein zu deiner Schwester zu sein!
Stop being so mean to your sister!
'Gemein' (mean/common) is related to 'gemeinsam' (together/shared) and 'die Gemeinschaft' (community). The original meaning was 'belonging to everyone.' From that, the modern negative meaning developed through 'ordinary' and 'vulgar.'
Früher bezeichnete man die einfachen Bürger als das „gemeine Volk“.
In the past, ordinary citizens were referred to as the 'gemeine Volk' (common people).
The old meaning 'gemeinsam' (shared/common) has been preserved in the fixed expression 'etwas gemein haben' (to have something in common). Here the word has no negative meaning.
Trotz ihrer Unterschiede haben die beiden vieles gemein.
Despite their differences, the two have a lot in common.
sneaky / left
Link and gemein can both describe an intentionally bad action or hurtful behavior. Link emphasizes that someone is sneaky, dishonest, or difficult to see through; gemein focuses more on maliciousness or causing hurt. Choose link when deception is involved and gemein for openly hurtful behavior.

Es war gemein, dass er vor allen anderen über ihre Angst lachte.
It was mean of him to laugh at her fear in front of everyone else.
Es war link, dass er mir absichtlich die falsche Uhrzeit nannte.
It was sneaky of him to deliberately give me the wrong time.