Problem solve

Can anyone help me to solve this?? I can’t understand. It is from chap 13 in manhattan 5-lb

Notice that the question asks for the least number of square pieces that can be cut. This gives us a hint as to what we need to do. So, if I want a minimum number of square pieces, then I would need to make those squares as big as possible. How do we do that? By making the dimensions as big as possible. Thus, the concept of greatest common factor can pop in our heads, leading us to get the GCF of 18 and 30, which is 6. This means that we need squares of a side length equal to 6. Thus, from 18 inches we can get 3 squares and from 30 we can get 5 squares, giving us a total of 3\cdot 5=15 squares.

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