Channel Islands

In 933, the islands were granted to William I Longsword by Raoul King of Western Francia and annexed to the Duchy of Normandy. In 1066, William II of Normandy invaded and conquered England, becoming William I of England, also known as William the Conqueror. In the period 1204--1214, King John lost the Angevin lands in northern France, including mainland Normandy, to King Philip II of France, but managed to retain control of the Channel Islands. In 1259, his successor, Henry III of England, by the Treaty of Paris, officially surrendered his claim and title to the Duchy of Normandy, while the King of France gave up claim to the Channel Islands, which was based upon his position as feudal overlord of the Duke of Normandy. Since then, the Channel Islands have been governed as possessions of the Crown and were never absorbed into the Kingdom of England and its successor kingdoms of Great Britain and the United Kingdom.

Question: are the channel islands a part of great britain
Answer: no