It is known that the coefficients of the monomials appearing in a Schubert polynomial ( https://en.wikipedia.org/wiki/Schubert_polynomial ) are always positive. My question is  : Is it always true that atleast one such coefficient must be $1$  ? If that is not always true, then is it true that the gcd of the coefficients of the monomials appearing in a Schubert polynomial must always be $1$  ?

It is known that the coefficients of the monomials appearing in a Schubert polynomial are always positive. My question is: Is it always true that at least one such coefficient must be $1$? If that is not always true, then is it true that the gcd of the coefficients of the monomials appearing in a Schubert polynomial must always be $1$?

It is known that the coefficients of the monomials appearing in a Schubert polynomial (https://www.google.co.in/url?sa=t&source=web&rct=j&url=https://en.m.wikipedia.org/wiki/Schubert_polynomial&ved=2ahUKEwiejJ-hxefbAhUGpI8KHX9DBOUQFjAAegQIBBAB&usg=AOvVaw1cxj4JbeHJt2bVyNtJewLI) are always positive. My question is : Is it always true that atleast one such coefficient must be $1$ ? If that is not always true, then is it true that the gcd of the coefficients of the monomials appearing in a Schubert polynomial must always be $1$ ?

It is known that the coefficients of the monomials appearing in a Schubert polynomial ( https://en.wikipedia.org/wiki/Schubert_polynomial ) are always positive. My question is : Is it always true that atleast one such coefficient must be $1$ ? If that is not always true, then is it true that the gcd of the coefficients of the monomials appearing in a Schubert polynomial must always be $1$ ?