Cut a rectangular paper with a length of 60cm and a width of 24cm into a square paper with the same size and an integer length of cm. There is no redundancy. How many cutting methods are there? How many squares of paper can you cut if the square paper is as big as possible?

Solution: Cut a rectangular piece of paper with a length of 60cm and a width of 24cm into a square piece of paper with the same size and an integer length of cm. How many cutting methods are there? There are six cutting methods: side length 1cm, 2cm, 3cm, 4cm, 6cm, 12 cm * *.

If the bigger the square piece of paper, the better, then how many square pieces of paper can be cut: 12cm, * * can be cut into 60*24/ 12= 120 pieces.