Download XMLStarlet(~1.5 MB) and Curl
Create a new file, query.xml and insert
<?xml version="1.0" encoding="UTF-8"?>
<request protocol="3.0" ismachine="1">
<os platform="win" version="6.1" sp="" arch="x86" />
<app appid="{4DC8B4CA-1BDA-483E-B5FA-D3C12E15B62D}" ap="-multi-chrome" brand="GGLS">
<updatecheck />
</app>
</request>
Run both Curl and XMLStarlet commands:
$ curl -X POST -d @query.xml https://tools.google.com/service/update2 > response.txt
$ xml sel -t -m //manifest -v @version -n response.txt
output
27.0.1453.94