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GR deals with a field (gravity) and finally a field is made up of a flow of particles.
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Yes and no....GR defines gravity as a warping of spacetime (so for want of a better word, a field). Gravitons are the QFT prediction for the force carries of gravity, that will fit into the Standard Model. The gravitons arise from the field itself, they don't flow through it or with it, like the particles in a colloidal solution.
The best way of thinking about gravitons is that they represent the "stress" put upon spacetime. The greater the stress, the more gravitons appear the greater the warping of spacetime.