Step 1: Compare dipole moments of the given molecules.
Approximate dipole moments are:
\[
\mathrm{H_2O} \approx 1.85\,D,\quad
\mathrm{H_2S} \approx 0.97\,D,
\]
\[
\mathrm{NH_3} \approx 1.47\,D,\quad
\mathrm{NF_3} \approx 0.24\,D,
\]
\[
\mathrm{CHCl_3} \approx 1.04\,D.
\]
Among these, \( \mathrm{NF_3} \) has the lowest dipole moment.
Step 2: Identify the central atom and lone pairs in \( \mathrm{NF_3} \).
In \( \mathrm{NF_3} \):
- Central atom is nitrogen.
- Nitrogen has 5 valence electrons.
- It forms three \( \mathrm{N-F} \) bonds and retains one lone pair.
Step 3: Final conclusion.
The molecule with the lowest dipole moment is \( \mathrm{NF_3} \), and the number of lone pairs on its central atom is \(1\).
Final Answer:
\[
\boxed{1}
\]