Problem
NT-B1-M02-P006 A Common Factor \(n\)
#6
★★☆☆☆ Level 2 of 5
For positive \(n\), find \(\gcd(48n,180n)\) and \(\operatorname{lcm}(48n,180n)\).
Factor out the common factor \(n\).
\(\gcd(48,180)=12\), \(\operatorname{lcm}(48,180)=720\). Since both numbers are multiplied by \(n\), we get \(\gcd(48n,180n)=12n\) and \(\operatorname{lcm}(48n,180n)=720n\).
Useful before parameter problems.