Gayatri devi is associated with a type of metre or rhythm. She is considered to be a manifestation of goddess Saraswati who has set into motion the rhythms of the Vedas, hence the name Vedmata. She brings down the power of Sun (Savitr) hidden in the darkness and illumines the mind and consciousness of the Sadhak. The Sun as Aditya being the source of other deities, Adityas, Gayatri carries something of the powers of other deities as well. However in her action she is mainly associated with the power of illumination. Other powers are dormant within it. However if one has the strong faith and aspiration that a particular deity can grant everything then this faith and aspiration unlocks a door and one passes beyond the deity and her power and action to the Divine Mother who is the sole Original Power, Adya Shakti, and can grant anything if She so choses to give. But this is not because of the Deity or the Mantra but the faith and aspiration in the sadhaka that brings him in contact with the highest through any deity and any means.
Affectionately,
Alok Da
Original question asked in Hindi:
Sir mai bahut years se Gayatri Sadhana kar raha hu. Meri samajh se mata Gayatri, Saraswati (Hrim), Lakshmi (Shrim) aur Kali ya Durga (Klim) ka samanvit rup hai jinki sadhana kar ne par mata apane Bhakt ko Sadbuddhi, aishwary aur samarthya deti hai. BHAKT KO JEEVAN KE CHAR PURUSHARTH – DHARMA, ARTH, KAM AUR MOKSHA – KI AOR PRERIT KARTI HAI. Kya meri yeh samajh sahi hai?
Aap ke kuchh answers me apane likha hai ke har devi ya devta alag alag shaktiya liye hote hai, aur unki pooja se milne wali siddhiya unhi Shakti yo ke anurup hi hoti hai. Toh Maa Gayatri ke liye meri samajh sahi hai? Mere doubts ka please samadhan kijiye.