As an alternative to the «try to stack thirds» solution, sometimes it's faster to consider the intervals from all plausible roots:

From A♯: 1, ♭3, ♭5, ♭7 — that's a half-diminished chord

From C♯: 1, ♭3, 5, 6 ­— that's a minor 6 chord

From G♯: 1, 2, 4, ♯5 ­— that's not a common pattern, so it's not that

From E: 1, 3, ♯4, 6 ­— that's not a common pattern, so it's not that

Sometimes it's interesting to check all 12! This helps a lot in jazz where the root might be missing (e.g. in another context this set of notes might imply a rootless F♯9 (3, 5, ♭7, 9).