[thaunatos]

Here's an example fingering chart for major scales: https://i.pinimg.com/originals/20/36/98/203698fda995f78e8621...

For the chromatic scale, I was taught to alternate 3 and 1, using 2 when there are two white keys in a row.

[oplav]

A more generic rule I heard later on was to not use your thumb on black keys (when playing scales). That constraint can sometimes help with other fingerings falling into place more intuitively.

[gabrielsroka]

I learned it a little bit differently, for example

https://youtu.be/twc_Yo4LFJI

[lovelyviking]

As I understand it's not different at all. Diagram shows how you play it continiously (not one octave only)