Possessive pronouns indicate which person belongs to a given object. They answer the questions: Чей? Чья? Чьё? Чьи? Whose?
In the Russian language, the possessive pronouns include words мой (my), твой (familiar your), наш (our), ваш (polite your), свой. The possessive pronouns indicate that things belong to somebody or something else. And you will hear one possessive pronoun or another if you ask a quesion Чей? Чья? Чьё? or Чьи? For example:
Мы любуемся твоей красотой.
Чьей красотой мы любуемся?
Наш город большой.
Чей город большой?
Свои успехи не восхваляй.
Чьи успехи не восхваляй?
Possessive pronouns МОЙ my, ТВОЙ your, НАШ our, ВАШ your, point to belonging to the first (МОЙ, НАШ) and second person (ТВОЙ, ВАШ) and vary by gender, a number and a case.
Gender and number and a case of possessive pronouns is determined by the noun to which they belong.
In the Russian language there are no special possessive pronouns indicating belonging to a third person.
Such cases are used genitive of personal pronouns of the third person: ЕГО his, ЕЁ her, ИХ its.
Possessive pronouns ЕГО, ЕЁ, ИХ may refer to a masculine, feminine and neuter nouns in singular and plural.
Possessive pronouns ЕГО, ЕЁ, ИХ do not change either by gender or by numbers.
You probably have an idea of personal pronouns. Just recall the third person genitive of personal pronouns (его, её, их). You may now use them like possessive pronouns. For example:
Я буду встречаться с его (её, их) братом.
The possessive pronouns change:
by number (мой - singular, мои - plural)
by gender (наш - masculine, наша - feminine)