We　investigate　the　vanishing　magnetic　field　limits　of　Riemann　solutions　to　the　isentropic　Chaplygin　gas　magnetogasdynamics　equations.　It　is　rigorously　proved　that,　as　the　magnetic　field　vanishes,　the　Riemann　solutions　to　the　isentropic　Chaplygin　gas　magnetogasdynamics　equations　converge　to　the　Riemann　solutions　to　the　Chaplygin　gas　equations　with　the　same　initial　data.　Besides,　substantially　different　from　the　previous　works　on　the　vanishing　pressure　limits　of　Riemann　solutions,　where　any　Riemann　solution　containing　two　shock　waves　converges　to　a　delta　shock　solution　to　the　transport　equations　and　the　intermediate　density　between　the　two　shocks　converges　to　a　weighted　d-measure　which　forms　the　delta　shock,　we　rigorously　justify　that　as　the　magnetic　field　vanishes,　some　Riemann　solutions　containing　two　shocks　tend　to　a　delta　shock　solution　to　the　Chaplygin　gas　equations,　and　the　intermediate　density　between　the　two　shocks　tends　to　a　weighted　d-measure　which　forms　the　delta　shock;　while　the　rest　Riemann　solutions　containing　two　shock　waves　tend　to　a　two-contact-discontinuity　solution　to　the　Chaplygin　gas　equations,　the　intermediate　state　between　the　two　contact　discontinuities　is　a　nonvacuum　state.