How many pairs of positive integers \((a,b)\) are there that \(\gcd(a,b)=1\) and \(\frac{a}{b}+\frac{14b}{9a}\) is an integer?
a=1; b=1;c=(a/b + (14*b /(9*a));if(floor(c)==ceil(c), goto4, goto5);printc,a,b,gcd(a,b); a++;if(a<200, goto2, 0);a=1;b++;if(b<200, goto2, discard=0;
Integer A B GCD(A, B)
5 1 3 1 3 2 3 1 3 7 3 1 5 14 3 1
