Difference between uncertainty relations

Question

I have come across two different uncertainty relations for position and momentum, namely $$\Delta x\Delta p\geq\frac{\hbar}{2}$$ and $$\Delta x\Delta p\geq h.$$ These two are clearly different and yield different results when calculated with. Why are there two of them?

Answer 1

The correct expression is $$\Delta x\Delta p\geq \frac{\hbar}{2}$$ Though most of the time one only interested in the order of magnitudes so the numerical factors don't matter.