The GCF for a pair of numbers is 18, and the LCM is 180. If one of the numbers is 90, what is the other number?
LCM of 180 and 18 = 180
GCD of 180 and 18 = 18
LCM of 90 and 36 = 180
GCD of 90 and 36 = 18
LCM of 36 and 90 = 180
GCD of 36 and 90 = 18
LCM of 18 and 180 = 180
GCD of 18 and 180 = 18
Let m and n be the two numbers. We already know one of them is 90.
mn=gcd(m, n) * lcm[m, n]
90n=gcd(90, n)* lcm[90, n]
90n=18 * 180
90n = 3240
n = 36