diff --git a/linear/GaussianFactorGraph.cpp b/linear/GaussianFactorGraph.cpp
index 86d7efbe9..126a5e131 100644
--- a/linear/GaussianFactorGraph.cpp
+++ b/linear/GaussianFactorGraph.cpp
@@ -174,4 +174,8 @@ GaussianFactorGraph GaussianFactorGraph::add_priors(double sigma, const Gaussian
 	return result;
 }
 
+GaussianFactorGraph GaussianFactorGraph::add_priors(double sigma) const {
+	return add_priors(sigma, GaussianVariableIndex<>(*this)) ;
+}
+
 } // namespace gtsam
diff --git a/linear/GaussianFactorGraph.h b/linear/GaussianFactorGraph.h
index 69ff3aa84..256c7b453 100644
--- a/linear/GaussianFactorGraph.h
+++ b/linear/GaussianFactorGraph.h
@@ -150,6 +150,8 @@ namespace gtsam {
      * @param sigma Standard deviation of Gaussian
      */
     GaussianFactorGraph add_priors(double sigma, const GaussianVariableIndex<>& variableIndex) const;
+    GaussianFactorGraph add_priors(double sigma) const;
+
 
   };