Commentary
All do not worship at the same altar since tastes differ from person to person. Although they worship at the different altars, they adore the same Vitality that is the substratum for all the created world of change. Thus even when they worship different deities with perfect faith, all of them invoke nothing but the One Eternal Truth expressed through different forms of worship.
Once it is agreed that the Infinite Reality is the One without a second, which remains the same in the past, present and future, it will be clear that the Self as Consciousness expressed through the instruments of different saints, sages, prophets and incarnations is one and the same wherever and whenever they are born and functioned among the people of their times. Hence Sri Krishna declares that they too worship Me alone, eventhough by wrong methods.
The term other Gods referred to in this verse means different forms or aspects of the single God-hood like Indra, Varuna etc., which the man assumes in his different Gunas. Such worshipers are said to follow wrong methods because while worshipping when there is a possibility of achieving the Highest – Realization of the Self, Liberation – they pray for ordinary things of life like health, wealth etc. Because of this ignorance they come back to the world to satisfy their unfulfilled desires.
Swami Chinmayananda
Swami Chinmayananda Commentary
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Adi Sankara Commentary
Api, even; ye, those who; anya-devata-bhaktah, being devoted to tother deities; and anvitah sraddhaya, endowed with faith; yajante, worship (them), te api, they also; O son of Kunti, yajanti, worship; mam, Me; eva, alone; (though) avidhi-purvakam, following the wrong method. Avidhi implies ignorance. So the idea is that they worship (Me) ignorantly.’How it is that they worship (Me) ignorantly?’ [i. e. the worshippers of other deities worship them knowingly, and hence, how can the question of their ignorance arise?] This is being answered: Because-
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