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Using the Alekseyev suggestion I was able to write a python function that solves the problem.

def common_factor(expr_list):
numerators, denominators = zip(*map(lambda expr: (expr.numerator(),expr.denominator()),expr_list))
return gcd(numerators)/gcd(denominators)

Using the Alekseyev suggestion I was able to write a simple python function that solves the problem.

def common_factor(expr_list):
numerators, denominators = zip(*map(lambda expr: (expr.numerator(),expr.denominator()),expr_list))
zip(*[expr.numerator_denominator() for expr in expr_list])
return gcd(numerators)/gcd(denominators)

Using the Alekseyev suggestion I was able to write a simple python function that solves the problem.

def common_factor(expr_list):
 numerators, denominators = zip(*[expr.numerator_denominator() for expr in expr_list])
 return gcd(numerators)/gcd(denominators)

Using the Alekseyev suggestion I was able to write a simple python function that solves the problem.

def common_factor(expr_list): numerators, denominators = zip(*[expr.numerator_denominator() for expr in expr_list]) return gcd(numerators)/gcd(denominators)

Using the @Max Alekseyev suggestion I was able to write a simple python function that solves the problem.

def common_factor(expr_list):
    numerators, denominators = zip(*[expr.numerator_denominator() for expr in expr_list])
    return gcd(numerators)/gcd(denominators)