Here is a chart of the compatibility between chromedriver and chrome. This information can be found at the Chromedriver downloads page.
chromedriver chrome
2.46 71-73
2.45 70-72
2.44 69-71
2.43 69-71
2.42 68-70
2.41 67-69
2.40 66-68
2.39 66-68
2.38 65-67
2.37 64-66
2.36 63-65
2.35 62-64
2.34 61-63
2.33 60-62
---------------------
2.28 57+
2.25 54+
2.24 53+
2.22 51+
2.19 44+
2.15 42+
chromedriver chrome
76.0.3809.68 76
75.0.3770.140 75
74.0.3729.6 74
73.0.3683.68 73
It seems compatibility is only guaranteed within that revision.
If you need to run chromedriver across multiple versions of chrome for some reason, well, plug the latest version number of chrome you're using into the Chromedriver version selection guide, then hope for the best. Actual compatibility will depend on the exact versions involved and what features you're using.
For example, we had a bug today where chromedriver 2.33 was trying to run this on Chrome 65:
((ChromeDriver) driver).findElement(By.id("firstName")).sendKeys("hello")
Due to the navigation changes in Chrome 63, updated in Chromedriver 2.34, we got back
unknown error: call function result missing 'value'
Updating to Chromedriver 2.37 fixed the issue.