Why did "The Big Three" disagree each other so strongly during the treaty of Versailles?

The first dispute occurred in January 1919. A meeting was held at Versailles in France by the leaders of each country as to decide how to punish the Germans. The leaders who attended the meeting were Lloyd George, prime minister of England, Georges Clemenceau, prime minister of France, and Woodrow Wilson, president of America. They were also known as "The Big Three" However they disagreed with each other's ideas. They each wanted something, which benefits themselves. …

…British, England and France also hated each other, they were only uniting before cause had to face a tough enemy. Secondly, the French wanted Germans to pay for more than what they caused, where England just wanted Germany to pay for a certain amount since they got exactly what wanted. Thirdly America had a totally different opinion to both of the other countries in the treaty, which was probably the major cause of the conflict.