Question 127
Determine all $(x, y, z)$ integer triplets for the following property: $$
\operatorname{pgcd}(x, y, z)\lt \operatorname{pgcd}(x+y, y+z, z+x)
$$
\operatorname{pgcd}(x, y, z)\lt \operatorname{pgcd}(x+y, y+z, z+x)
$$
MathNet 2026 — Part 04 Question 127
Math Olympiad Vault · MathNet 2026 — Part 04