diff --git a/Lib/fractions.py b/Lib/fractions.py
index 501f4b74a0b7ac..1f68ea833693db 100644
--- a/Lib/fractions.py
+++ b/Lib/fractions.py
@@ -13,6 +13,12 @@
 __all__ = ['Fraction']
 
 
+def _gcd(a, b):
+    # Supports non-integers for backward compatibility.
+    while b:
+        a, b = b, a%b
+    return a
+
 # Constants related to the hash implementation;  hash(x) is based
 # on the reduction of x modulo the prime _PyHASH_MODULUS.
 _PyHASH_MODULUS = sys.hash_info.modulus
diff --git a/Lib/test/test_fractions.py b/Lib/test/test_fractions.py
index 7cf7899932b34d..a5e0bfd875a589 100644
--- a/Lib/test/test_fractions.py
+++ b/Lib/test/test_fractions.py
@@ -666,6 +666,24 @@ def test_slots(self):
         r = F(13, 7)
         self.assertRaises(AttributeError, setattr, r, 'a', 10)
 
+    def test_gcd_compatibility_branch(self):
+        # Regression test for bugs.python.org/issue39350
+
+        class myint(int):
+            def __mul__(self, other):
+                return myint(int(self)*int(other))
+
+            @property
+            def numerator(self):
+                return self
+
+            @property
+            def denominator(self):
+                return myint(1)
+
+        myhalf = F(myint(1), myint(2))
+        self.assertEqual(myhalf, F(1, 2))
+
 
 if __name__ == '__main__':
     unittest.main()
diff --git a/Misc/NEWS.d/next/Library/2020-02-02-10-38-59.bpo-39350.8V69hi.rst b/Misc/NEWS.d/next/Library/2020-02-02-10-38-59.bpo-39350.8V69hi.rst
new file mode 100644
index 00000000000000..a0793ae10543d8
--- /dev/null
+++ b/Misc/NEWS.d/next/Library/2020-02-02-10-38-59.bpo-39350.8V69hi.rst
@@ -0,0 +1,3 @@
+Revert removal of ``fractions._gcd``. That removal caused breakage when
+using ``fractions.Fraction`` with integer-like values (for example NumPy
+integers).