[Math] How to efficiently compute the determinant of a matrix using elementary operations

Question

Need help to compute $\det A$ where
$$A=\left(\begin{matrix}36&60&72&37\\43&71&78&34\\44&69&73&32\\30&50&65&38\end{matrix} \right)$$

How would one use elementary operations to calculate the determinant easily?

I know that $\det A=1$

Answer 1

I suggest Gaussian Elimination till upper triangle form or further but keep track of the effect of each elementary. see here for elementary's effect on det