Kammala jumla mai zuwa: An fara zabar Gredal zuwa Folketing a 1971 a matsayin memba na Social Democrats, kuma ya yi aiki a wannan matsayin har zuwa 1979. Ta yi aiki a matsayin Ministan Harkokin Zamani daga 1971 zuwa 1973 kuma daga 1975 zuwa 1978. A wannan matsayi, ta mayar da hankali kan gyaran rashin aikin yi. Ta kuma matsa lamba don Majalisar Daidaita Daidaitawa ta Denmark, kuma ta kasance wakili ga Majalisar Dinkin Duniya ta Duniya.
Taron Majalisar Dinkin Duniya kan Mata a shekarar 1975. An zabi Gredal a matsayin dan majalisar Turai a shekarar 1979, kuma ya yi wa'adi biyu. Ta kasance a cikin Kwamitin Harkokin Siyasa, da kuma Kwamitin Kasafin Kuɗi. Ta kuma shafe shekaru biyu na karshe na wa'adin ta na biyu a kwamitin muhalli. Bayan da wa'adinta ya ƙare a 1989, Gredal ya yi aiki ga Ƙungiyar Ƙungiyar Turai ta Duniya, kuma shi ne darektan kungiyar Mental Health Association har zuwa mutuwarta a 1995.