TOC Identify Language

Question

Check for Regular,CFL,CSL?

1. L={$a^n b^m$ | LCM(n,m)=600) }

2.L={$a^n b^m c^k$ | LCM(n,m)=k) }

3. L={$a^n b^m$ | GCD(n,m)=600) }

4.L={$a^n b^m c^k$ GCD(n,m)=k) }

5.L={$a^n b^m$ | m*n=p  }

6.L={$a^n b^m c^p$| m*n=p  }

This is a variation of similar question i asked here:- https://gateoverflow.in/140877/toc-identify-language#c142076

Comments

My answer is :- 1 and 5 are regular and rest all are CSL.Please check

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correct..

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How rest all are CSL?