There are stable versions of node in 10.x and 12.x.
I guess they are v10.18 and 12.14.
Install node using nvm, it will help in switching between different versions. And by installing stable versions of node, it will automatically install the npm with appropriate version (may be version 6.13.4 for npm.
For yarn, I think it is v1.21.1.
Not sure for react native stable versions.