Consider the following structure plan, where M and N represent MATLAB variables:$1.$ Set M $=44$ and N $=282.$ While M not equal to N repeat: While M $>$N repeat: Replace value of M by M N While N$>$M repeat: Replace value of N by N M$3.$ Display M$4.$ Stop$($a$)$ Work through the structure plan, sketching the contents of M and N during execution. Give theoutput.$($b$)$ Repeat $($a$)$ for M $=14$ and N $=24.($c$)$ What general arithmetic procedure does the algorithm carry out $($try more values of M and N ifnecessary$)?$