Common exception handling code for extracting several methods in Java

I have some private methods in a class with the same exception handling Their body code throws the same exception type, and the code processing is the same

private void method1() {
  try {
     //make_the_world_a_better_place
  }
  catch(IOException ioe) {
     // ...
  }
}

private boolean method2(String str) {
  try {
     //make_a_cheesecake
  }
  catch(IOException ioe) {
     // ...
  }
}

Which is the best way to externalize common exception handling, so when I make changes to the exception handling code of one method, the changes are propagated to the other methods? The template method pattern is convenient in this case, but I don't want to go deep into the class hierarchy

Edit: there are several catch clauses, not just one in the example

Solution

Create an interface:

public interface Executor {

  void exec() throws Exception;

}

In your class:

checkForExceptions(new Executor() {

  @Override
  public exex() throws Exception {

    method1();

  }

});

private void checkForExceptions(Executor ex) {
try {
  ex.exec();
} catch (Exception e) [
  /// handling
}