Firstly find the greatest common divisor of 30 and 48: 30 / 6 = 5; 48 / 6 = 8, so the greatest common divisor is 6, it means that Kiara needs 6 plastic containers which include 30 / 6 = 5 oatmeal cookies and 48 / 6 = 8 chip cookies.
Answer: 6 containers.