Solution 1:

I had the exact same problem when setting up RVM on my new Mac this morning:

$ ruby -v
dyld: Library not loaded: /usr/local/lib/libgmp.10.dylib
Referenced from: /Users/psoshnin/.rvm/rubies/ruby-2.1.3/bin/ruby
Reason: image not found

To solve the issue I first ran:

$ brew update && brew upgrade

Then I ran:

$ rvm reinstall 2.1.3 --disable-binary

And it installed successfully for me.

$ ruby -v
ruby 2.1.3p242 (2014-09-19 revision 47630) [x86_64-darwin13.0]

Hope this helps.

Solution 2:

This worked for me:

brew update && brew install gmp && rvm reinstall 2.1.3