Can there exist a positive integer aaa such that gcd(a,60)=15\gcd(a, 60) = 15gcd(a,60)=15 AND gcd(a,48)=12\gcd(a, 48) = 12gcd(a,48)=12 simultaneously?
Yes, for example a=180a = 180a=180
Yes, for example a=120a = 120a=120
No, these constraints are contradictory
Yes, but only for primes