each the other; one another (used as a compound reciprocal pronoun): to strike at each other; to hold each other's hands; to love each other.
Origin: before 1000;Middle English; Old English. See each, other
Usage note Although some insist that each other be used only in reference to two (The two candidates respected each other) and one another in reference to three or more (The three nations threaten one another), in standard practice they are interchangeable. Each other is not restricted to two, nor is one another restricted to three or more. The possessive of each other is each other's; the possessive of one another is one another's.