The phrase "a common enthusiasm" is correct and usable in written English.
It can be used to describe a shared interest or passion among a group of people.
Example: "The team gathered to discuss their project, fueled by a common enthusiasm for innovation and creativity."
Alternatives: "a shared passion" or "a mutual interest".
They found that they had a common enthusiasm for management systems and the business approach to government.
The bride and groom had a common enthusiasm for nature, and that they both scrupulously eschewed cooked foods.
"They are not thugs," she said, describing them as "ordinary people like you and me who share a common enthusiasm for motorcycles".
I work with bright, energetic people who share a common enthusiasm for the work they do and understand that open communication of ideas, and the synergy it creates, are essential for the attainment of our goals: better crop plants for an increasingly harsh world.
Allen attended Lakeside School, a private school in Seattle, and befriended Bill Gates, who was almost three years younger and shared a common enthusiasm for computers.
She's a good friend of Cecillia due to their common enthusiasm for technology.
Working together with my students and colleagues has always been a strong motivation and pleasure for me and I hope that this sketch of our research reflects our common enthusiasm for what we achieved.
And he rejected Republicans' and Democrats' common enthusiasm for confronting nuclear-armed Russia.
I could see the disappointment etched on her face while she realized that she and her friends could be united by a common age, enthusiasms and ambitions, yet they still lacked a shared sense of history.
What's more: A common purpose also ensures that enthusiasm is focused towards a bigger goal, that it's not wasted for something completely unrelated to the company strategy, and therefore can live on for a long time.
And his mixture of enthusiasm and disdain is a common reaction to the city's contradictions.
