According to a chart on the link below, Euan is popular in Scotland (its origin).
Euan as a boy's name is of Scottish and Gaelic origin, and the meaning of Euan is "born of yew; youth". From Eoghan. Also means "little swift one" in Irish Gaelic. The ancient, original form of this name refers to the yew tree, and may therefore be associated with Eugene. Also a variant of Evan, and hence, also a version of John.
Euan has 3 variant forms: Ewan, Ewen and Owen.
Baby names that sound like Euan are Ean, Euen, Juan and Eian.