# Finding Greatest Common Divisor using LuaLatex

Here is my code to find Greatest Common Divisor of two positive integers.

\documentclass{article}
\usepackage{luacode}

\begin{luacode}
function gcd(a,b)
if b ~= 0 then
return gcd(b, a % b)
else
return math.abs(a)
end
end
\end{luacode}
\newcommand\findgcd[2]{\directlua{tex.sprint(gcd(#1,#2))}}

\begin{document}
\findgcd{5,10}
\end{document}


It throws error. The expected output is simply gcd of 5 and 10. Is % sign in lua code causing the error?

You have defined \findgcd with two arguments, but you only supply one:

\findgcd{5}{10}


will work.

If you want the syntax \findgcd{5,10}, then declare it:

\documentclass{article}
\usepackage{luacode}

\begin{luacode}
function gcd(a,b)
if b ~= 0 then
return gcd(b, a % b)
else
return math.abs(a)
end
end
\end{luacode}

\newcommand\findgcd[1]{\directlua{tex.sprint(gcd(#1))}}

\begin{document}
\findgcd{5,10}
\end{document}


Here's a simple package code, save as gcd.sty:

\ProvidesPackage{gcd}[2019/07/22]
\RequirePackage{luacode}

\begin{luacode}
function gcd(a,b)
if b ~= 0 then
return gcd(b, a % b)
else
return math.abs(a)
end
end
\end{luacode}

\newcommand\findgcd[2]{\directlua{tex.sprint(gcd(#1,#2))}}

\endinput


Now your document, as soon as gcd.sty is in a directory read by the TeX engines, can be

\documentclass{article}
\usepackage{gcd}

\begin{document}
\findgcd{5}{10}
\end{document}

• Is it possible to store this function as a package? I mean something like this. \usepackage{gcd} and with this package \findgcd command will be available to use it anywhere in document. Jul 22, 2019 at 11:40
• @user61681 Yes, write a package and upload it to CTAN. Jul 22, 2019 at 11:56
• Could you share some resources? How to write package for this type of lua functions? Jul 22, 2019 at 12:03
• Thanks for your detailed help. You are great...! Just one last query, though it is out of scope here. I am trying to learn how to write latex macros (own commands, environments etc.). I couldn't find any resources for that. I have programming background but still find it difficult to learn latex programming. Could you share some resources if you know? Thanks again. Jul 22, 2019 at 12:28
• @user61681 It's best if they're documented. Jul 22, 2019 at 12:28