SOLUTION: a rectangular piece of paper has a length of 25cm and a breadth of 20 cm. The piece of paper is cut into a number of identical squares such that no part of the paper is left unused

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Question 939709: a rectangular piece of paper has a length of 25cm and a breadth of 20 cm. The piece of paper is cut into a number of identical squares such that no part of the paper is left unused.
(i) Calculate the largest possible length of each aquare piece that can be cut.
(ii) how many squares pieces are obtained?
Answer by josgarithmetic(39617) About Me  (Show Source):
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Hard to formalize, but intuition about those values indicates squares of edge 5 cm. The 25 and the 20 both are whole number products of the factor 5. Also 5 is the largest factor contained in both 25 and 20.

How many of 5*5 are in 25*20? Arithmetic division. 20 squares.