The letter to the Galatian churches is Paul’s attempt to address the division caused by Jewish believers not accepting the Gentile believers without their conforming to Jewish practices.  The root cause of this was that Jewish people felt they were superior to non-Jews. This led them to practice separation and avoiding fellowship with non-Jewish believers. In this final portion of chapter 3, Paul clearly concludes that since all believers are accepted by God based on their response to the faithfulness of Jesus Christ, then there should be no separation among people with different backgrounds.  

Paul’s understanding went beyond Jew versus Greek. He extended this principle and theology to include slaves and free as well as male and female. He clearly states that all, regardless of their differences, are one in Christ, because all have been baptized into Christ. Furthermore, since they are all in Christ, they are also heirs of the promises. There is no difference in worth between the various different people.