# What would the 3D graph of GCD(x, y) and LCM(x, y) look like?

To find the answer out, I was going to use a graphing calculator but I couldn't find any one that supports the two operations. I would try to draw by hand but since it'll a 3D graph, I would have to use domain coloring and that would be a lot of work and hard to interpret. So, I ask: What does the graph look like for each function, and does it have an extension like factorials where it extends to real and rational numbers too having it as a codomain (such as if $$1.5!$$ has a real result, does $$\gcd(1.5, 1.2)$$ have one too)?