Find HCF of $693$ and $567$ and express it as a linear combination of them. Is this combination unique? If not, then write one more linear combination.

The length and breadth of a field are $16 \mathrm{m} 17 \mathrm{cm}$ and $22 \mathrm{m} 77 \mathrm{cm}$ respectively. If the maximum length of the rope which can measure the dimensions of the field in exact number of times is $k \mathrm{cm}$, then find the value of $k$.