
das Mitglied
member
A person who belongs to a group, club, organization, or family.
Jedes Mitglied des Vereins muss einen Jahresbeitrag zahlen.
Every member of the club has to pay an annual fee.
member
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member
A person who belongs to a group, club, organization, or family.
Jedes Mitglied des Vereins muss einen Jahresbeitrag zahlen.
Every member of the club has to pay an annual fee.

limb
A body part, especially an arm or a leg. This meaning is outdated and is hardly used today.
Nach der langen Wanderung streckte er seine müden Mitglieder aus.
After the long hike, he stretched out his tired limbs.
The word consists of 'Mit-' and 'Glied'. 'Mit' means 'together/with', and a 'Glied' is a part of a whole (like a link in a chain). So a member is literally a 'part that belongs to it'.
Als neues Mitglied fühlte er sich schnell in der Gruppe willkommen.
As a new member, he quickly felt welcome in the group.
Although 'das Mitglied' (member) refers to people (male, female, diverse), the word is grammatically neuter. It always remains 'das Mitglied', regardless of the person's gender.
Sie ist seit zehn Jahren Mitglied in unserem Chor.
She has been a member of our choir for ten years.
You are 'Mitglied in' (a member in/of) a group in which you are active (e.g., a club), or 'Mitglied von' (a member of) a larger organization. Often both prepositions are possible.
Er ist Mitglied im Schachklub.
He is a member of the chess club.
Common verbs used with 'Mitglied' (member) are 'Mitglied werden' (to become a member), 'Mitglied sein' (to be a member), and 'als Mitglied austreten' (to resign/withdraw as a member).
Möchtest du Mitglied in unserem Fitnessstudio werden?
Would you like to become a member of our gym?
The meaning 'body part' is outdated (archaic). You will only find it in very old literature. It is no longer used in modern language.
Der Ritter schützte seine Mitglieder mit einer Rüstung.
The knight protected his limbs with armor.
comrade
Both words can refer to a person who belongs to a political party. Mitglied is the neutral term, whereas Genosse or Genossin is politically and historically marked and is used especially for socialist, social democratic, or communist parties. Mitglied is usually more appropriate for a factual statement.

Lena ist seit Jahren Mitglied der kommunistischen Partei.
Lena has been a member of the communist party for years.
Lena ist seit Jahren Genossin der kommunistischen Partei.
Lena has been a comrade in the communist party for years.