gebrochen
broken
Physically broken into two or more pieces or cracked.
Nach dem Sturz vom Fahrrad war sein Arm gebrochen.
After falling off his bike, his arm was broken.

broken
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broken
Physically broken into two or more pieces or cracked.
Nach dem Sturz vom Fahrrad war sein Arm gebrochen.
After falling off his bike, his arm was broken.

'Gebrochen' (broken) is the past participle of the verb 'brechen' (to break). All meanings of 'gebrochen' (broken) derive from the idea of breaking or interruption, whether with a bone, language, or a heart.
Vorsicht, das Glas kann leicht brechen.
Careful, the glass can break easily.
The noun described by 'gebrochen' (broken) determines the meaning. A 'gebrochener Arm' (broken arm) is physically damaged, 'gebrochenes Deutsch' (broken German) refers to language, and a 'gebrochenes Herz' (broken heart) refers to a feeling.
Er hat sich das Bein gebrochen.
He broke his leg.
When referring to language, 'gebrochen' (broken) is almost always combined with a language or the word 'Sprache' (language) itself. You say 'in gebrochenem Deutsch sprechen' (to speak in broken German) or 'sein Englisch ist gebrochen' (his English is broken).
Er konnte seine Geschichte nur in gebrochenem Deutsch erzählen.
He could only tell his story in broken German.
In the figurative sense, 'gebrochen' (broken) describes a state of deep grief or discouragement. Typical expressions are 'ein gebrochener Mann/eine gebrochene Frau' (a broken man/a broken woman) or 'ein gebrochenes Herz' (a broken heart).
Seit dem Tod ihrer Partnerin ist sie eine gebrochene Frau.
Since the death of her partner, she has been a broken woman.
The expression 'gebrochene Schrift' (blackletter script) is a technical term from typography and refers to certain historical typefaces such as Fraktur. It is used only in this specific context.
Die alte Urkunde war in gebrochener Schrift verfasst.
The old document was written in blackletter script.
whole / quite
'ganz' and 'gebrochen' can be opposites when talking about something complete or undamaged. 'ganz' then means that something is complete or intact. 'gebrochen' means that something is broken or no longer in one piece. The words can also be confused in mathematics: a 'ganze Zahl' (whole number) is not a fraction, while a 'gebrochene Zahl' (fractional number) is a fraction. In everyday life, for things like glass, plates, or bones, you use 'ganz' for intact and 'gebrochen' for broken or fractured.

In der Werkstatt liegt ein gebrochener Metallstab auf dem Tisch.
There is a broken metal rod lying on the table in the workshop.
Die Tasse ist nach dem Umzug noch ganz.
The cup is still intact after the move.