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Three ribbons have lengths 24 cm, 36 cm, and 80 cm. If you want to cut them into pieces of the same length, what is the least number of pieces you can obtain? (4 marks)
A carpenter has wooden planks measuring 42 cm, 56 cm, and 98 cm. He wants to cut them into identical smaller pieces for a project. What is the longest possible length for each piece without any leftover wood? (4 marks)
A tailor has fabrics with lengths 18 meters, 30 meters, and 45 meters. She wants to cut equal pieces for handkerchiefs. What is the minimum number of handkerchiefs she can make without any leftover fabric? (4 marks)
There are three metal rods with lengths 15 cm, 20 cm, and 75 cm. To create identical decorative pieces, they need to be cut into pieces of the same length. What is the greatest possible length for each decorative piece? (4 marks)
A baker has ropes of baking twine measuring 28 inches, 42 inches, and 98 inches. He needs to cut them into equal lengths to tie cake boxes. What is the largest possible length of twine he can use for each box without any leftover twine? (4 marks)