If ((1 + i)/(1 - i))^(m/2) = ((1 + i)/(1 - i))^(n/3) = 1, (m, n N) then the greatest common divisor of the least values of m and n is _ _ _ _.

Complex Numbers and Quadratic Equations: JEE Main 2020 Mathematics question

JEE Main 2020 · 3 Sep, Morning shift · Q21

JEE Main 20203 Sep, Morning shiftMathematicsMediumComplex Numbers and Quadratic Equations264× since 2002

{\left( {{{1 + i} \over {1 - i}}} \right)^{{m \over 2}}} = {\left( {{{1 + i} \over {1 - i}}} \right)^{{n \over 3}}} = 1

, (m, n

\in

N) then the greatest common divisor of the least values of m and n is _______ .

Your answerType your answer. Integers and decimals are accepted.

JEE Main 2020 · 3 Sep, Morning shift · Q21

JEE Main 20203 Sep, Morning shiftMathematicsMediumComplex Numbers and Quadratic Equations264× since 2002

{\left( {{{1 + i} \over {1 - i}}} \right)^{{m \over 2}}} = {\left( {{{1 + i} \over {1 - i}}} \right)^{{n \over 3}}} = 1

, (m, n

\in

N) then the greatest common divisor of the least values of m and n is _______ .

Your answerType your answer. Integers and decimals are accepted.