diff --git a/Number_types/include/CGAL/GMP/Gmpq_type.h b/Number_types/include/CGAL/GMP/Gmpq_type.h
index d96c28a08e7..3c230e7f7b9 100644
--- a/Number_types/include/CGAL/GMP/Gmpq_type.h
+++ b/Number_types/include/CGAL/GMP/Gmpq_type.h
@@ -95,6 +95,35 @@ public:
   Gmpq(unsigned long n)
   { mpq_set_ui(mpq(), n, 1); }
 
+private:
+  void init_ull(unsigned long long n){
+      CGAL_assertion(sizeof(long)==4 && sizeof(long long)==8);
+      mpq_set_ui(mpq(), (unsigned long)(n>>32), 1);
+      mpz_ptr z = mpq_numref(mpq());
+      mpz_mul_2exp (z, z, 32);
+      mpz_add_ui (z, z, (unsigned long)n);
+  }
+public:
+  Gmpq(unsigned long long n)
+  {
+    if (n <= std::numeric_limits<unsigned long>::max())
+      mpq_set_ui(mpq(), (unsigned long)n, 1);
+    else
+      init_ull(n);
+  }
+
+  Gmpq(long long n)
+  {
+    if (sizeof(long)==sizeof(long long))
+      mpq_set_si(mpq(), n, 1);
+    else if (n>=0)
+      init_ull(n);
+    else {
+      init_ull(-(unsigned long long)n);
+      mpq_neg(mpq(), mpq());
+    }
+  }
+
   Gmpq(const Gmpz& n)
   { mpq_set_z(mpq(), n.mpz()); }