1. When Vitya, determining the greatest common divisor of three numbers, named 15 as the answer, Vera, not knowing these numbers but knowing that their product is 3000, noticed that he was wrong. Is she right?
1. Since $3000=2^{3} \cdot 3 \cdot 5^{3}$, the greatest common divisor of such three numbers can only take the following values: $1,2,5$ or 10. Therefore, Vera is correct.