If a and b are positive integers such that gcd(a,b)=210, lcm[a,b]=2103, and \(a , how many possible values are there for a?
Sorry, typo. \(a
What does \(a mean in LaTex?
a
for some reason it was formatted wrong.
a and b are the same as their GCD and LCM. In other words:
GCD(210, 210^3) = 210, and
LCM(210, 210^3) = 210^3. If "a" stands for 210, then "a" can only take one value of 210. If you double it, say to 420, then the new GCD = 420....and so on.
So what is the answer?