Given $A=M_1SN_1$ and $B=M_2SN_2$ where all $M_1,M_2,S,N_1,N_2\in\Bbb Z_{\geq0}^{n\times n}$ are all symmetric full rank is there a procedure to extract $S$ from $A$ and $B$ using gcd like operations?
2026-04-02 09:31:14.1775122274
GCD of matrices
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OK, $M_1=T_1H$, $M_2=T_2H$, where $T_1, T_2, H$ have a full rank. Where is answer $HS$ or $H$ or $S$? We can't do this(