A rectangle is divided into four small rectangles, three of which have an area of 24, 30 and 32 square centimeters respectively, and the area of another small rectangle is?

The common divisors of 24 and 30 are: 1, 2, 3 and 6
The common divisors of 24 and 32 are: 1, 2, 4 and 8
The common divisors of 30 and 32 are 1 and 2
Suppose that one side of the rectangle is 1
Similarly, when we can get side length 2 or 3, it doesn't conform to the meaning of the question
If the side length is 4, then
24=4 * 6
32=4 * 8
30=5 * 6
Then, the two sides of the fourth small rectangle are 8 and 5 respectively,
S=8 * 5=40

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