Height of Rationals

In a recent [breakthrough](https://www.quantamagazine.org/mathematicians-prove-30-year-old-andre-oort-conjecture-20220203/) in mathematics, the proof utilized a concept called `Height`. Consider a fraction $\frac{a}{b}$. Its `Height` is defined as the **maximum** of its numerator and denominator. So, for example, the `Height` of $\frac{3}{19}$ would be $19$, and the `Height` of $\frac{27}{4}$ wou