请解答这道题和详细分析讲解这道题---**Textual Information:** Question Stem: 有一张长方形纸, 长 70 cm, 宽 50 cm。如果要把这张纸剪成若干张同样大小的正方形而没有剩余, 剪出的正方形的边长最大是多少厘米? Translation: There is a rectangular piece of paper, 70 cm long and 50 cm wide. If this paper is to be cut into several identical squares without any leftover, what is the maximum possible side length of the cut squares in centimeters? **Chart/Diagram Description:** Type: Geometric figure / Simple depiction. Main Elements: - Shape: A square. - Appearance: A solid, light brown/orange square shape with a thin border line. - Relative Position: Located to the right of the text of the problem.