
der Rechner
computer
An electronic device for processing data according to a program; a computer.
Mein Rechner ist abgestürzt und ich muss ihn neu starten.
My computer crashed and I have to restart it.
computer / calculator
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computer
An electronic device for processing data according to a program; a computer.
Mein Rechner ist abgestürzt und ich muss ihn neu starten.
My computer crashed and I have to restart it.

calculator
An electronic device specifically designed for mathematical calculations; a pocket calculator.
Für die Steuererklärung brauche ich einen Rechner.
I need a calculator for the tax return.

calculator
An outdated term for a person who performs complex calculations professionally or because of special skills.
Der Astronom Johannes Kepler war ein genialer Rechner seiner Zeit.
The astronomer Johannes Kepler was a brilliant calculator of his time.
'Der Rechner' is derived directly from the verb 'rechnen' (to calculate). A Rechner is therefore literally something or someone that calculates. This explains the different meanings, from computer to calculator.
Kannst du bitte ausrechnen, wie viel das insgesamt kostet?
Can you please calculate how much that costs altogether?
The context tells you whether a computer or a calculator is meant. Verbs like 'hochfahren' (to boot up), 'abstürzen' (to crash), or 'installieren' (to install) point to a computer. If it is about simple arithmetic problems, a calculator is usually meant.
Mein Rechner fährt heute Morgen nicht hoch, ich glaube, er ist kaputt.
My computer won't boot up this morning; I think it's broken.
In the sense of 'Computer' (computer), 'Rechner' is often used with verbs like 'hochfahren' (to boot up), 'herunterfahren' (to shut down), 'neu starten' (to restart), or 'abstürzen' (to crash).
Der Rechner ist mitten in meiner Arbeit abgestürzt.
The computer crashed in the middle of my work.
The meaning 'Person, die rechnet' (person who calculates) is outdated today. It is used almost only in historical texts to describe professions or skills from the past.
Vor der Erfindung des Computers gab es den Beruf des Rechners.
Before the invention of the computer, there was the profession of the calculator.
computer
„Computer“ and „Rechner“ can both refer to an electronic device for processing data. „Computer“ is the neutral and more common choice in everyday speech, while „Rechner“ can sound more technical and, depending on the context, can also mean a calculator. For a general-purpose work device, „Computer“ is usually clearer.

Der neue Rechner im Büro verarbeitet die Daten besonders schnell.
The new computer in the office processes the data particularly quickly.
Ich speichere die Dateien auf meinem Computer.
I save the files on my computer.