SOLUTION: a board 120cm by 90cm is to be divided into the largest possible equal sized squares. How many such squares would be formed? LCM or HCF? Please help! Thanks

Question 787025: a board 120cm by 90cm is to be divided into the largest possible equal sized squares. How many such squares would be formed? LCM or HCF?
Please help! Thanks
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
The largest possible size of the squares if the board has to be divided into equal sized squares would require that the side of the squares would fit an integer number of times into the 90cm and 120cm width and length of the board.
In that case, the greatest common factor (called GCF in the USA) of 90 and 120 would be the length (in cm) of the side of each square (30cm by 30cm squares), and you would have 3 squares along the 90cm width of the board, and 4 squares along the 120cm length.
That would make 3 times 4 = squares
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