Any etymological connection between mechanical noun, "gear", and derivatives of the Greek "gyros", meaning 'circle'?

Their ultimate PIE origins appear to be different as shown below. The main sense of gear is that of “equipment and readiness” rather than a round object. “The mechanical sense of "toothed wheel in machinery" first attested 1520s; specific mechanical sense of "parts by which a motor communicates motion" is from 1814.”

Gear:

The etymological meaning of gear is roughly ‘that which puts one in a state of readiness’ – hence ‘equipment, apparatus’. Its ultimate source is prehistoric Indo-European garw-, which also produced the now obsolete English adjective yare ‘ready’ and (via Germanic, Italian, and French) garh (16th c.). A derivative *garwīn- passed into Old Norse as gervi, which English borrowed as gear. The mechanical sense of the word developed in the 16th century.

(DC.com)

Gyre:

1560s, "a circular motion," from Latin gyrus "circle, circular course, round, ring," from Greek gyros "a circle, ring," related to gyrós "rounded," perhaps from PIE root geu- "to bend, curve".

(Etymonline)