To reduce the computation cost of multi-keyword search for cloud-based group data sharing. Materials and methods: Multi-Keyword Advanced Encryption Standard algorithm (MAES) and Searchable Encryption RSA algorithm (SERSA) was iterated 10 times (sample size =20) for calculating the computational cost of multi-keyword search. The Shamir’s Secret key technique used with MAES algorithm helps to reduce the computation cost of multi-keyword search. Results and discussion: MAES appears to have better reduced cost (1.86 sec) compared to SERSA algorithm (2.05 sec). There was a statistical significance difference between MAES and SERSA with the value p=0.026 (p <0.05). Conclusion: MAES algorithm with Shamir's Secret key provides better reduced computation cost of multi-keyword search compared to SERSA.