perplexus.info :: Numbers : Square the GCD, get the Sum

Square the GCD, get the Sum (Posted on 2023-12-13)

Find all possible triplet of positive integers (a, b, c) that satisfy this system of equations:
(GCD(a,b))^2= a+b
(GCD(b,c))^2= b+c
(GCD(c,a))^2 = c+a

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

Only (2,2,2)satisfy the given conditions.
For an explanation, refer the solution submitted by Charlie in this location.

Comments: ( You must be logged in to post comments.)

	Subject	Author	Date
	computer findings	Charlie	2023-12-14 08:11:43

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