Paper squares

The paper rectangle measuring 69 cm and 46 cm should be cut into as many squares as possible. Calculate the lengths of squares and their number.

Result

a =  23 cm
n =  6

Solution:

69=3⋅2346=2⋅23GCD(69,46)=23=23 a=23  cm 69 = 3 \cdot 23 \\ 46 = 2 \cdot 23 \\ \text{GCD}(69, 46) = 23 = 23\\ \ \\ a = 23 \ \text{ cm }
n=69⋅46/a2=6n = 69\cdot 46/a^2 = 6

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