各自
gè zì
each
respective; apiece
each (各) + self (自) = each doing their own thing
各 shows a foot arriving at a mouth — each person speaking from their own arrival point. 自 is a nose, the gesture of pointing to oneself, so together the word captures each person acting from their own center.
我们各自回家吧。
wǒ men gè zì huí jiā ba。
Let's each go home.
他们两个人各自有自己的想法。
tā men liǎng gè rén gè zì yǒu zì jǐ de xiǎng fǎ。
The two of them each have their own ideas.