Strawberries have about the same amount of fiber as other favorite fruits. One cup of grapes has 1 gram of fiber. One peach and one-half grapefruit have 2 grams, and you’ll get about 3 grams of fiber from eating an apple, banana or orange. Pears have a little more, with 5 grams in one piece of fruit. Fruits with the highest amounts of fiber include blackberries, raspberries and, of course, prunes. One cup of fresh blackberries, raspberries or stewed prunes has 8 grams of fiber.