
brauchen
to need
To need something or be required for a purpose. Expresses a necessity.
Ich brauche dringend einen Kaffee.
I urgently need a coffee.
to need
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to need
To need something or be required for a purpose. Expresses a necessity.
Ich brauche dringend einen Kaffee.
I urgently need a coffee.

to take
To take or use a certain amount of time or resources for something.
Für die Fahrt nach Hamburg brauchen wir ungefähr drei Stunden.
For the trip to Hamburg, we'll take about three hours.

not need to
In combination with a negation and 'zu' + infinitive, it means that something is not necessary or that one does not have to do something. Corresponds to 'nicht müssen' (not have to).
Du brauchst heute nicht abzuwaschen, das mache ich später.
You don't need to do the dishes today; I'll do that later.
'Brauchen' (to need) can be used as a normal main verb with an accusative object, or in negative sentences like a modal verb with 'zu' and an infinitive.
Ich brauche deine Hilfe.
I need your help.
When 'brauchen' (to need) expresses a necessity, it functions as a main verb. The thing that one needs is always in the accusative.
Für dieses Rezept brauchen wir noch Eier und Mehl.
For this recipe, we still need eggs and flour.
A very common mistake is leaving out 'zu' in the construction with an infinitive. The correct form is always 'nicht brauchen zu + infinitive'.
Sie brauchen das Formular nicht auszudrucken.
You don't need to print out the form.
In spoken language, the 'zu' after 'brauchen' (to need) is often omitted. Although this is very widespread, it is considered incorrect in written language and formal situations.
Du brauchst keine Angst haben, es ist alles in Ordnung.
You don't need to be afraid; everything is all right.
necessary
Brauchen and etwas nötig haben can both express that someone urgently needs something. Brauchen is neutral and common in everyday speech, while nötig haben as a fixed expression sounds more emphatic and can sound mocking or critical depending on the situation. Brauchen is usually suitable for a normal statement; nötig haben can fit when expressing strong criticism.

Nach dem langen Lauf brauchst du dringend ein Glas Wasser.
After the long run, you urgently need a glass of water.
Nach dem langen Lauf hast du dringend ein Glas Wasser nötig.
After the long run, you are badly in need of a glass of water.