Magda is the German, Polish, and Czech short form of Magdalena/Magdalene — from the Hebrew Mariam hē Magdalēnē (Mary of Magdala). Magda Apanowicz (born 1985) — Polish-Canadian actress. Magda (1909 opera) — Puccini's La rondine heroine.
Magda does not currently appear in the US Social Security Administration's top 1,000 girls' names, so we don't publish a US rank or birth count for it. That says nothing about the name's standing elsewhere in the world — only that it sits outside the ranked US data we rely on.
In Pythagorean numerology the letters of Magda reduce to 8, The Visionary. This is a traditional interpretive system, not a factual claim about the name.