Challenge: Find the Egyptian Fraction’s Denominators

Problem statement

Every positive fraction can be represented as the sum of its unique unit fractions. A fraction is a unit fraction if the numerator is $1$ and the denominator is a positive integer. For example, $1/3$ is a unit fraction. Such a representation is called an Egyptian fraction.

Input

Two variables: numerator and denominator.

Output

An array of denominators in the format [d1, d2, ..., dn].

Sample input

numerator = 2;
denominator = 3;

This value represents the number $2/3$.

Sample output

result = {2, 6};

These numbers represent the following:

The original number $2/3$ can be expressed as $1/2 + 1/6$. The returned array represents the denominators from both of these numbers, which are $2$ and $6$.