Problem
NT-B1-M02-P002 GCD and LCM of 84 and 126
#2
★☆☆☆☆ Level 1 of 5
Find \(\gcd(84,126)\) and \(\operatorname{lcm}(84,126)\).
Factorise both numbers.
\(84=2^2\cdot3\cdot7\), \(126=2\cdot3^2\cdot7\). Hence \(\gcd=2\cdot3\cdot7=42\), \(\operatorname{lcm}=2^2\cdot3^2\cdot7=252\).
Checks minimum and maximum prime exponents.