Definition of each determiner from the Oxford Advanced Learner's Dictionary

, pronoun
Oxford3000

each

determiner
iːtʃ
 
; iːtʃ
 
 
used to refer to every one of two or more people or things, when you are thinking about them separatelyEach answer is worth 20 points.Each of the answers is worth 20 points.The answers are worth 20 points each.‘Red or blue?’ ‘I'll take one of each, please.’We each have our own car.There aren't enough books for everyone to have one each.They lost $40 each.Each day that passed he grew more and more desperate.
Usage noteUsage note: each / everyEach is used in front of a singular noun and is followed by a singular verb:Each student has been given his or her own email address. The use of his or her sometimes sounds slightly formal and it is becoming more common to use the plural pronoun their:Each student has been given their own email address.When each is used after a plural subject, it has a plural verb:They each have their own email address.Every is always followed by a singular verb:Every student in the class is capable of passing the exam.Each of, each one of and every one of are followed by a plural noun or pronoun, but the verb is usually singular:Each (one) of the houses was slightly different. I bought a dozen eggs and every one of them was bad. A plural verb is more informal.