How to understand how to find the greatest common divisor and draw the greatest concentric circle

After finding the greatest common divisor, we can express it intuitively by drawing the greatest concentric circle.

Details are as follows:

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 represent two integers A and B as a = d * m and b = d * n respectively (where M and N are both integers and mutually prime), 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, which is the maximum concentric circle.

The painting method of maximum concentric circle 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.