together, both, neither, all, and, alike, with
共 centers on shared participation or inclusion: things being together, both, all, or alike. The conjunction senses 'and' and 'with' follow naturally from that idea of togetherness.
共 is thought to depict two hands jointly holding an object, representing the idea of sharing or doing something together.
The top 龷 looks like two hands coming together, and the lower strokes suggest a shared base. Picture two people holding a tray together: 共 means together, both, or with.
For キョウ, imagine two people shouting 'kyou!' (like 'kyo') in unison as they lift a heavy object together: kyou -> キョウ, and they do it together.
together with
first-person plural (or singular)
common; shared; mutual
cooperation; collaboration; association; partnership; (acting in) unison
joint ownership; co-ownership; sharing (e.g. a viewpoint)
public (facilities, service, etc.); communal
together; jointly
Communist Party
republicanism
sympathy; empathy; response; identification (with someone)
appearing together (in a film, play, etc.); performing together (at a concert, etc.); acting together; co-starring; playing together (in a sports match)
communism
Republican Party
conspiracy; collusion; complicity
joint struggle; common (united) front
coexistence
common use; communal use; sharing
coexistence; living together
complicity
mutual aid
resonance
(husband and wife) both working; dual income
joint sponsorship (of an event); cosponsorship; joint hosting
joint authorship; co-authorship; collaboration; joint work
anticommunism
People's Republic of China
together; in company
coeducation; mixed-sex education
mutual prosperity
falling together; mutual destruction; joint bankruptcy
Democratic People's Republic of Korea (North Korea); DPRK
joint; common
Republic of Guatemala
public broadcasting (e.g. NHK, BBC)
public utilities charge
cooperative body; cooperative system; collective; community
republican form of government; republicanism
republic; commonwealth
communism
(husband and wife) earning a living together
point in common; common feature
common language; lingua franca
local public body; local government