This is the 370th most frequent Danish word.
ganske
"Quite" or "fairly."
Here, 'ganske' is used as an intensifier to mean 'quite' or 'rather', adding emphasis to the adjective 'koldt' (cold).
Det er ganske koldt udenfor.
It is quite cold outside.
Here, 'ganske' is used to slightly emphasize 'almindelige' (ordinary), somewhat reinforcing its normalcy and triviality.
Han arbejder med ganske almindelige opgaver.
He works on rather ordinary tasks.
In this context, 'ganske' functions again as an intensifier and gives a meaning similar to 'quite' to describe the person's niceness, implying notable but not excessive degree.