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"common denominator for" is a correct and usable phrase in written English.
It is commonly used to refer to a shared or unifying factor among different things or people. Example: The common denominator for all successful businesses is a strong and dedicated team.
Exact(58)
"It's the common denominator for many people who come to America".
"The one common denominator for all of us was antifascism," Mr. Fishman said.
The common denominator for the successful online stations is specialist knowledge of music.
It is difficult to establish a common denominator for all of the artistic expressions of the Islamic peoples.
Without detailed knowledge and the means to implement quick changes, companies settled for the market price, the least common denominator for a group of buyers.
On canvas, the common denominator for Tyson's conquerors in his 49-3 record (43 knockouts) has been not being afraid of him.
Facebook is now the lowest common denominator for communication among my friends, largely replacing email and text with brief comments and likes.
Although Robinson retired, Duncan remained, becoming the common denominator for these Spurs championship teams and those that followed later in the decade.
"When our business first started 13 years ago the least common denominator for making reservations was a touchtone phone," said Mark Norman, the president of Zipcar.
Finally, he was also interested in questions of institutional crafting, although he was agnostic about the existence of a "universal common denominator" for institutional design.
A common denominator for most antigen-delivery systems is their particulate nature.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com