Let's say that I pay $100, $100, and $200 as my minimum payments each month. The majority is just paying interest. If I pay off the $1,500 card, and pay off any charges I make to it in a month, I don't pay interest on it. So, if I buy $1,500 worth of gold dollar coins on it and pay it back before the end of the billing cycle, I won't pay interest on it. If I buy them with that card and use it to pay $1,500 on either of my other two cards and then still made my regular $100 and $200 payments, a lot less of those payments would be goind toward interest and the principle would start going down faster. If I moved it between bot of the remaining cards, I could double the effect. In short, if I borrowed $1,500 instead of $10K, I may be able to pay the remainder off much faster this way. I would be charging $1,500 to each card once per month and paying the same $1,500 + the payments each month before the billing cycles were due. Because I can stagger the billing cycles of the three cards to be a third of a month apart, I might be able to make it work. A side effect will be earning $1,500 worth of purchase rewards on the two Chase cards every month (I don't think my BofA card has any rewards).