It is recommended to pay off the entire amount as having some balance on your credit card for a long time can hurt your credit score. Though paying minimum due balance can relieve you temporarily from your financial burden, leaving a balance month on month could add up the interest rate and also hamper your credit score. 

Leaving some balance on your credit limit is a good way to enhance your credit score. Keeping your credit utilisation ratio below 50% is a seen as a responsible habit and it can definitely improve your score if you are consistently maintaining the limit.