Your list spans schools with quite different ideas of what the GMAT actually means, which makes the "minimum" question harder than it sounds. For a profile like yours, the score functions less as a capability signal and more as an early filter.
- The number to work toward is 685 on GMAT Focus Edition. For INSEAD (median around Classic 710) and Oxford, that score puts you comfortably ahead. For Stanford and Harvard, 685 FE sits at roughly the M7 admit median, so there is no built-in buffer: the rest of the application needs to compensate.
- What you did not ask about but should: the non-target university piece. For international applicants from non-target institutions, adcoms at Stanford and Harvard lean on the GMAT as the academic proxy for rigor more heavily than they do for others. That is the structural reason 685 FE is a floor, not a destination.
- Your first-gen background and social impact work are genuinely differentiated, especially at Yale SOM and INSEAD, which read those narratives more visibly. In our experience, those elements earn their value only after the score clears the first screen, which is why we would push toward 695+ if the test allows.
- The thread worth sharpening before writing a single essay: how consulting, entrepreneurship, and social impact connect into a coherent post-MBA goal. Stanford GSB will probe this hard, and a scattered narrative costs more than a few GMAT points
on how profile coherence plays into decisions like these.
Aim for 685 FE as the floor, push higher if the test cooperates, and put equal energy into tying the narrative thread together clearly.