Yes, most American universities, including comprehensive universities and liberal arts colleges, have common requirements/core requirements. These general courses include mathematics, natural science, social science, literature and so on. Generally, students decide their major in the next semester of their freshman year or sophomore year.
So these general courses are to let you know about these courses and determine your interests as your major. American universities attach great importance to general education, so these courses will be counted as GPA.
Even for mathematics majors, there must be some basic courses in English literature, economics and other social sciences to ensure their understanding of these fields. American education advocates general education, so to sum up, it will count.