diff --git a/src/DataTypes/DataTypeCustom.h b/src/DataTypes/DataTypeCustom.h
index cf1e943d8e9..675673ee1fd 100644
--- a/src/DataTypes/DataTypeCustom.h
+++ b/src/DataTypes/DataTypeCustom.h
@@ -22,6 +22,8 @@ public:
     virtual ~IDataTypeCustomName() = default;
 
     virtual String getName() const = 0;
+
+    virtual bool identical(const IDataTypeCustomName & rhs) const = 0;
 };
 
 using DataTypeCustomNamePtr = std::unique_ptr<const IDataTypeCustomName>;
@@ -51,6 +53,12 @@ private:
 public:
     explicit DataTypeCustomFixedName(String name_) : name(name_) {}
     String getName() const override { return name; }
+    bool identical(const IDataTypeCustomName & rhs_) const override
+    {
+        if (const auto * rhs = typeid_cast<decltype(this)>(&rhs_))
+            return name == rhs->getName();
+        return false;
+    }
 };
 
 }
diff --git a/src/DataTypes/DataTypeCustomSimpleAggregateFunction.cpp b/src/DataTypes/DataTypeCustomSimpleAggregateFunction.cpp
index 4e50be0a0cc..42e94291094 100644
--- a/src/DataTypes/DataTypeCustomSimpleAggregateFunction.cpp
+++ b/src/DataTypes/DataTypeCustomSimpleAggregateFunction.cpp
@@ -167,4 +167,19 @@ void registerDataTypeDomainSimpleAggregateFunction(DataTypeFactory & factory)
     factory.registerDataTypeCustom("SimpleAggregateFunction", create);
 }
 
+bool DataTypeCustomSimpleAggregateFunction::identical(const IDataTypeCustomName & rhs_) const
+{
+    if (const auto * rhs = typeid_cast<decltype(this)>(&rhs_))
+    {
+        if (parameters != rhs->parameters)
+            return false;
+        if (argument_types.size() != rhs->argument_types.size())
+            return false;
+        for (size_t i = 0; i < argument_types.size(); ++i)
+            if (!argument_types[i]->identical(*rhs->argument_types[i]))
+                return false;
+        return function->getName() == rhs->function->getName();
+    }
+    return false;
+}
 }
diff --git a/src/DataTypes/DataTypeCustomSimpleAggregateFunction.h b/src/DataTypes/DataTypeCustomSimpleAggregateFunction.h
index 926dfd9cc82..dd68756d82e 100644
--- a/src/DataTypes/DataTypeCustomSimpleAggregateFunction.h
+++ b/src/DataTypes/DataTypeCustomSimpleAggregateFunction.h
@@ -36,6 +36,7 @@ public:
 
     AggregateFunctionPtr getFunction() const { return function; }
     String getName() const override;
+    bool identical(const IDataTypeCustomName & rhs_) const override;
     static void checkSupportedFunctions(const AggregateFunctionPtr & function);
 };
 
diff --git a/src/DataTypes/DataTypeNested.cpp b/src/DataTypes/DataTypeNested.cpp
index a4b7442393c..a916b2a5a2b 100644
--- a/src/DataTypes/DataTypeNested.cpp
+++ b/src/DataTypes/DataTypeNested.cpp
@@ -72,4 +72,19 @@ DataTypePtr createNested(const DataTypes & types, const Names & names)
     return DataTypeFactory::instance().getCustom(std::move(custom_desc));
 }
 
+bool DataTypeNestedCustomName::identical(const IDataTypeCustomName & rhs_) const
+{
+    if (const auto * rhs = typeid_cast<decltype(this)>(&rhs_))
+    {
+        if (names != rhs->names)
+            return false;
+        if (elems.size() != rhs->elems.size())
+            return false;
+        for (size_t i = 0; i < elems.size(); ++i)
+            if (!elems[i]->identical(*rhs->elems[i]))
+                return false;
+        return true;
+    }
+    return false;
+}
 }
diff --git a/src/DataTypes/DataTypeNested.h b/src/DataTypes/DataTypeNested.h
index 1ad06477a6e..5b4aa290091 100644
--- a/src/DataTypes/DataTypeNested.h
+++ b/src/DataTypes/DataTypeNested.h
@@ -19,6 +19,7 @@ public:
     }
 
     String getName() const override;
+    bool identical(const IDataTypeCustomName & rhs_) const override;
 };
 
 DataTypePtr createNested(const DataTypes & types, const Names & names);
diff --git a/src/DataTypes/IDataType.cpp b/src/DataTypes/IDataType.cpp
index 2a7e0f246de..ad3c1a78aed 100644
--- a/src/DataTypes/IDataType.cpp
+++ b/src/DataTypes/IDataType.cpp
@@ -252,4 +252,17 @@ SerializationPtr IDataType::getSerialization(const NameAndTypePair & column)
     return column.type->getDefaultSerialization();
 }
 
+bool IDataType::identical(const IDataType & rhs) const
+{
+    const auto * rhs_custom_name = rhs.getCustomName();
+    if (custom_name && rhs_custom_name)
+    {
+        return custom_name->identical(*rhs_custom_name);
+    }
+    else if (custom_name || rhs_custom_name)
+        return false;
+    else
+        return equals(rhs);
+}
+
 }
diff --git a/src/DataTypes/IDataType.h b/src/DataTypes/IDataType.h
index 7f5cd88fa2b..81524c5a697 100644
--- a/src/DataTypes/IDataType.h
+++ b/src/DataTypes/IDataType.h
@@ -177,6 +177,12 @@ public:
     /// Checks that two instances belong to the same type
     virtual bool equals(const IDataType & rhs) const = 0;
 
+    /** Checks that two types is exactly identical. Note that two types may equals but not identical.
+      * For example, `SimpleAggregateFunction(max, String)` and `SimpleAggregateFunction(anyLast, String)`
+      * This is used when creating replicated table. Column types in different replicas must be identical
+      */
+    virtual bool identical(const IDataType & rhs) const;
+
     /// Various properties on behaviour of data type.
 
     /** The data type is dependent on parameters and types with different parameters are different.
diff --git a/src/Storages/ColumnsDescription.cpp b/src/Storages/ColumnsDescription.cpp
index dafd341a9f8..5b21b8f120b 100644
--- a/src/Storages/ColumnsDescription.cpp
+++ b/src/Storages/ColumnsDescription.cpp
@@ -53,6 +53,18 @@ ColumnDescription::ColumnDescription(String name_, DataTypePtr type_)
 {
 }
 
+bool ColumnDescription::identical(const ColumnDescription & other) const
+{
+    auto ast_to_str = [](const ASTPtr & ast) { return ast ? queryToString(ast) : String{}; };
+
+    return name == other.name
+        && type->identical(*other.type)
+        && default_desc == other.default_desc
+        && comment == other.comment
+        && ast_to_str(codec) == ast_to_str(other.codec)
+        && ast_to_str(ttl) == ast_to_str(other.ttl);
+}
+
 bool ColumnDescription::operator==(const ColumnDescription & other) const
 {
     auto ast_to_str = [](const ASTPtr & ast) { return ast ? queryToString(ast) : String{}; };
@@ -877,4 +889,13 @@ Block validateColumnsDefaultsAndGetSampleBlock(ASTPtr default_expr_list, const N
     }
 }
 
+bool ColumnsDescription::identical(const ColumnsDescription & other) const
+{
+    if (columns.size() != other.columns.size())
+        return false;
+    for (auto it1 = columns.begin(), it2 = other.columns.begin(); it1 != columns.end(); ++it1, ++it2)
+        if (!it1->identical(*it2))
+            return false;
+    return true;
+}
 }
diff --git a/src/Storages/ColumnsDescription.h b/src/Storages/ColumnsDescription.h
index 06a2b476144..e982ed93b3b 100644
--- a/src/Storages/ColumnsDescription.h
+++ b/src/Storages/ColumnsDescription.h
@@ -89,6 +89,7 @@ struct ColumnDescription
     ColumnDescription(const ColumnDescription &) = default;
     ColumnDescription(String name_, DataTypePtr type_);
 
+    bool identical(const ColumnDescription & other) const;
     bool operator==(const ColumnDescription & other) const;
     bool operator!=(const ColumnDescription & other) const { return !(*this == other); }
 
@@ -123,6 +124,7 @@ public:
     /// NOTE Must correspond with Nested::flatten function.
     void flattenNested(); /// TODO: remove, insert already flattened Nested columns.
 
+    bool identical(const ColumnsDescription & other) const;
     bool operator==(const ColumnsDescription & other) const { return columns == other.columns; }
     bool operator!=(const ColumnsDescription & other) const { return !(*this == other); }
 
diff --git a/src/Storages/StorageReplicatedMergeTree.cpp b/src/Storages/StorageReplicatedMergeTree.cpp
index 837c0c6bbbf..2b91499b567 100644
--- a/src/Storages/StorageReplicatedMergeTree.cpp
+++ b/src/Storages/StorageReplicatedMergeTree.cpp
@@ -1230,9 +1230,9 @@ bool StorageReplicatedMergeTree::checkTableStructure(const String & zookeeper_pr
     const auto & old_columns = metadata_snapshot->getColumns();
 
     /// Replicated tables on different replicas must have exactly same column definitions
-    /// We cannot just compare column descriptions here because data types like SimpleAggregateFunction
+    /// We cannot compare column descriptions with `==` here because data types like SimpleAggregateFunction
     /// may have different aggregate function in 1st argument but still compatible if 2nd argument is same.
-    if (columns_from_zk.toString() == old_columns.toString())
+    if (columns_from_zk.identical(old_columns))
         return true;
 
     if (!strict_check && metadata_stat.version != 0)
diff --git a/tests/queries/0_stateless/02910_replicated_with_simple_aggregate_column.sql b/tests/queries/0_stateless/02910_replicated_with_simple_aggregate_column.sql
index 90da4725ace..84250059c58 100644
--- a/tests/queries/0_stateless/02910_replicated_with_simple_aggregate_column.sql
+++ b/tests/queries/0_stateless/02910_replicated_with_simple_aggregate_column.sql
@@ -14,4 +14,4 @@ CREATE TABLE t_r2
 )
 ENGINE = ReplicatedAggregatingMergeTree('/tables/{database}/t', 'r2')
 ORDER BY id
-SETTINGS index_granularity = 8192; -- { serverError INCOMPATIBLE_COLUMNS }
\ No newline at end of file
+SETTINGS index_granularity = 8192; -- { serverError INCOMPATIBLE_COLUMNS }