each-other

each other

noun
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


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.
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Collins
World English Dictionary
each other
 
pron
used when the action, attribution, etc, is reciprocal: furious with each other
 
usage  Each other and one another are interchangeable in modern British usage

Collins English Dictionary - Complete & Unabridged 10th Edition
2009 © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
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Word Origin & History

each other
reciprocal pronoun, originally in late O.E. a phrase, with each as the subject and other inflected (as it were "each to other," "each from other," etc.).
Online Etymology Dictionary, © 2010 Douglas Harper
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