diff --git a/include/boost/decimal/hash.hpp b/include/boost/decimal/hash.hpp
index 718d145ed..15a8cf50f 100644
--- a/include/boost/decimal/hash.hpp
+++ b/include/boost/decimal/hash.hpp
@@ -12,6 +12,7 @@
 #include <boost/decimal/decimal_fast64_t.hpp>
 #include <boost/decimal/decimal_fast128_t.hpp>
 #include <boost/decimal/detail/config.hpp>
+#include <boost/decimal/detail/cmath/normalize.hpp>
 
 #ifndef BOOST_DECIMAL_BUILD_MODULE
 #include <functional>
@@ -26,8 +27,10 @@ struct hash<boost::decimal::decimal32_t>
     // Since the underlying type is a std::uint32_t, we will rely on its hash function from the STL
     auto operator()(const boost::decimal::decimal32_t& v) const noexcept -> std::size_t
     {
+        const auto normalized_v {boost::decimal::normalize(v)};
+
         std::uint32_t bits;
-        std::memcpy(&bits, &v, sizeof(std::uint32_t));
+        std::memcpy(&bits, &normalized_v, sizeof(std::uint32_t));
 
         return std::hash<std::uint32_t>{}(bits);
     }
@@ -39,8 +42,10 @@ struct hash<boost::decimal::decimal64_t>
     // Since the underlying type is a std::uint64_t, we will rely on its hash function from the STL
     auto operator()(const boost::decimal::decimal64_t& v) const noexcept -> std::size_t
     {
+        const auto normalized_v {boost::decimal::normalize(v)};
+
         std::uint64_t bits;
-        std::memcpy(&bits, &v, sizeof(std::uint64_t));
+        std::memcpy(&bits, &normalized_v, sizeof(std::uint64_t));
 
         return std::hash<std::uint64_t>{}(bits);
     }
@@ -57,8 +62,10 @@ struct hash<boost::decimal::decimal128_t>
     // Take the xor of the two words and hash that
     auto operator()(const boost::decimal::decimal128_t& v) const noexcept -> std::size_t
     {
+        const auto normalized_v {boost::decimal::normalize(v)};
+
         boost::int128::uint128_t bits;
-        std::memcpy(&bits, &v, sizeof(boost::int128::uint128_t));
+        std::memcpy(&bits, &normalized_v, sizeof(boost::int128::uint128_t));
 
         return std::hash<std::uint64_t>{}(bits.high ^ bits.low);
     }
diff --git a/test/test_hash.cpp b/test/test_hash.cpp
index 539716896..f1272b775 100644
--- a/test/test_hash.cpp
+++ b/test/test_hash.cpp
@@ -14,6 +14,7 @@
 #include <boost/decimal/iostream.hpp>
 #include <boost/core/lightweight_test.hpp>
 #include <functional>
+#include <array>
 
 template <typename T>
 void test_hash()
@@ -26,6 +27,31 @@ void test_hash()
     }
 }
 
+// See: https://github.com/cppalliance/decimal/issues/1120
+template <typename T>
+void test_hash_cohorts()
+{
+    const std::array<T, 7> values {
+        T {3, 7},
+        T {30, 6},
+        T {300, 5},
+        T {3000, 4},
+        T {30000, 3},
+        T {300000, 2},
+        T {3000000, 1}
+    };
+
+    std::hash<T> hasher;
+
+    for (const auto val1 : values)
+    {
+        for (const auto val2 : values)
+        {
+            BOOST_TEST_EQ(hasher(val1), hasher(val2));
+        }
+    }
+}
+
 int main()
 {
     test_hash<boost::decimal::decimal32_t>();
@@ -35,5 +61,12 @@ int main()
     test_hash<boost::decimal::decimal_fast64_t>();
     test_hash<boost::decimal::decimal_fast128_t>();
 
+    test_hash_cohorts<boost::decimal::decimal32_t>();
+    test_hash_cohorts<boost::decimal::decimal64_t>();
+    test_hash_cohorts<boost::decimal::decimal128_t>();
+    test_hash_cohorts<boost::decimal::decimal_fast32_t>();
+    test_hash_cohorts<boost::decimal::decimal_fast64_t>();
+    test_hash_cohorts<boost::decimal::decimal_fast128_t>();
+
     return boost::report_errors();
 }