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The largest concentric circle refers to a circle with the same center and the same radius. We can determine the radius of the largest concentric circle by finding the greatest common divisor of two or more integers. Take two integers A and B as an example, and their greatest common divisor is d, then the radius of the largest concentric circle is d.

Specifically, we can express two integers A and B as a = d * m and b = d * n respectively (where M and N are integers and prime numbers), and then draw circles with the center of the circle as the origin and d * m and d * n as the radii respectively. These two circles are circles with the same center and the same radius, that is, the largest concentric circle.

The painting method of maximum concentricity can be used not only to solve mathematical problems, but also in real life, such as design and painting. By drawing the maximum concentric circle, people can understand and feel the abstract concepts and ideas in mathematics more intuitively, so as to better apply mathematical knowledge.