My t2 branch has a gcdfactor method for matrices that can remove any gcd's from 
terms if that would be helpful:

This is in commit 1811 and 1811b

+def test_gcdfactor():
+    from sympy.abc import a, b, c, x
+    m=Matrix(((a/x, b/x), (1/x, c/x)))
+    assert m.gcdfactor() == 1/x
+    assert m == Matrix(((a, b), (1, c)))
+    assert m.gcdfactor() == 1

/c

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