: The key signatures C-flat minor and G-flat minor: do they exist? Do the key signatures C-flat minor/G-flat minor exist? If yes,what notes are used in them, and they are rarely or frequently used in classical music? Also:

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Do the key signatures C-flat minor/G-flat minor exist?

Theoretically, they can be said to exist, but since these keys are the relative minor keys of E?? major and B?? major, respectively, the key signatures involve double flats. They are impractical and weird. Furthermore, they are (on any 12-tone keyboard) enharmonically equivalent to B minor and F? minor, respectively, so there's really no point in using them.

If yes, what notes are used in them?

C? natural minor: C?, D?, E??, F?, G?, A??, B??
C? harmonic minor: C?, D?, E??, F?, G?, A??, B?
C? melodic minor (ascending): C?, D?, E??, F?, G?, A?, B?

G? natural minor: G?, A?, B??, C?, D?, E??, F?
G? harmonic minor: G?, A?, B??, C?, D?, E??, F
G? melodic minor (ascending): G?, A?, B??, C?, D?, E?, F

The descending melodic minor scales are the same as the natural minor.

Are they rarely or frequently used in classical music?

They are certainly extremely rare in classical music. In fact, I would be very surprised if they have ever been used at all.

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Answer for the xenharmonic part:

In some scales, they definitely do exist. For example, consider the 19-TET, where G♭ is a note on its own, which is different from F♯ (C♭ is also a different note, but now it's enharmonic with H♯, not H♮ as in 12-TET). So, G♭ minor and C♭ minor are "normal" keys in 19-TET, despite their key signatures have double accidentals (9 and 10 flats respectively — but since only the scales which have the same number of accidentals* modulo 19 are enharmonically equivalent in 19-TET, so in order to represent all 19 possible (sounding) classes of keys one has to use key signatures with at least 9 (or 10) accidentals).

*Number of accidentals is meant to be positive for sharps and negative for flats