Winning-GD

In my personal game I'm close to winning in both science and culture. But while I was playing I noticed that these two victories often lead to the 2 others military and democratic. I noticed that all of the victory influences each other.

Science and military: 

Domination is probably the hardest way to win because of the danger of this act. First going into war with a country whit the same military strength as you are really hard because it's like fighting your shadow. But what I have noticed in my game is that I am so advance in science I can go to war and win easily. For example now I have the Pracinha which makes it easy to kill off weaker unit because it's one of the most powerful units in the game so far at 70 melee damage. Also, if you concentrate on science you can get units like nukes, which make it easy to win wars at a distance. The domination victory also helps you win more science for example, if you take a city and make it yours, than you can use it to make more science.

Cultural and democratic:

Cultural and democratic victory are probably the longest and the most boring victory. But I realized that one doesn't come without the other. I realized that the world congress could help you make decisions that help you get more tourism/culture. For example, art funding gives a 33% faster building of great artists, writer, and musicians which gives you more tourism. Culture also help you  get a better role better in the word congress. The policies can affect how Civs and city states see you for example patronage commerce, 

 Science and democratic:

Science influences democratic because Some of the sciences like globalization give you more delegate there for making you have more influence in the world congress. You can also find trough science building that gives you more vote in the world congress like the forbidden temple.

Demographics affect science because of the decision you can make. For example, science funding gives you a 33% faster building rate for buildings great scientist architect and merchants. 

Culture and military: Culture affects your military power trough policies like honor which give you more military power. Military power can affect culture if for example if you destroy a Civ with a lot of culture or therefor making your quest to win with culture easier. Also, if you capture a Civ/city-state whit a wonder inside its border you might get culture. (Mount Fuji, El Dorado, and Mount Kilimanjaro.

                                                                         

Science culture: culture affects science trough policies like rationalism which gives you alot of science (I know from personal experience). Science affects culture because it lets you build building that give you more culture per turn. This gives you culture faster therefor making it more easy to get policies that help you get more science and repeat.

Democratic military: 

This one was tougher because if you do wars it makes you look bad in the world congress. But I found out a way where you would be good using war to change vote in world congress. For example, if someone is being annoying then you murder him and he is not annoying anymore. And the same goes for wars If someone is bombing you with nukes than make them stop by making nuke illegal (good thing if Gandhi is in the game.)

This is how all the types of victory interact with each other. I think that you have better chances of winning if you try and use them together instead of taking one out of the load and praying on that.