Danish Dominions
The Faroe Islands currently use the Faroese króna, a localized version of the Danish krone but legally the same currency. Such notes are normally not accepted by shops in Denmark proper, or foreign exchange bureaus, but exchanged 1:1 in Danish banks. Greenland currently uses ordinary Danish kroner but has considered introducing its own currency, the Greenlandic krone in a system similar to that of the Faroese one. Both continue to use Danish coins.
It remains unclear if Greenland and the Faroe Islands will adopt the euro should Denmark choose to do so. Both are parts of the Kingdom of Denmark, but remain outside of the EU. For this reason, they do not take part in EU referenda.
Read more about this topic: Denmark And The Euro