Question 17

How many positive integral pairs \((a,b)\) can make the below expression true? \[(a,b)+9[a,b]+9(a+b)=7ab\]

  • Notes:

1.\((a,b)\) stands for the GCD (Greatest common divisor) of integers \(a\) and \(b\);

2.\([a,b]\) stands for the LCM (Lowest common multiple) of integers \(a\) and \(b\).

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