As it has been posted, and it circulates before and now, about Ganesha, there is a proper mantra received for us to help our lives and advance in our path, worldly and spiritually. The below is to confirm and clarify.

The correct form of the mantra is about the 'Red' Ganesha, and it is related to God Janus:

Aum Gaum Ganapataye Namah

The functions of the mantra can be understood by Lord Janus ritual, and the uses are for:

Positive Beginnings, Transitions, Destroyer and Removal of Obstacles, Blockages, Karma and Backlashes of Magic. One can use this also to allow or disallow.

The essence of Sanskrit to what is about this mantra, it contains a warrior essence, thus this can be also an active principle, meaning one can do this for material life as well and can be rather intense with manifestations. I would advise that, the way one does this mantra, is with perfect acknowledgment of what one wants and desires to come about. The mantra does what one focuses and affirms about, and we talk about destroying obstacles in one function. Intent is very important.

The colours, with most amplifying power, are Red and Vermillion.

Examples of use:

Starting a money working, one starts as well a Removing Obstacles with regard to money.

The nature of removing something negative, it is a must to be replaced with positive. The nature also of burning karma, without knowing the full extent of the transitions, this should not be performed without a strong positive working in tandem with this.

One does a love spell, one removes obstacles in positive conditioning with the above mantra, and so on.

The ancient and what remains from corrupted sources, have always related a logic approach indirectly, in doing magic, and this is to ensure safety and complete positive manifestations. In regard to the above, one must connect it to another working that is to be desired, so that they unionize and amplify your results. This will allow for said working to manifest, ease backlashes, guard the workings, and it is a whole blessing one can do.