Use searchstatus add on of Mozilla Firefox. I use it. Otherwise there are also a lot of tools available.
The best way to know about do-follow and no-follow by using Nodofollow plugin in Mozilla Firefox Browser. Just install the plugin and restart your browser and you can see no-follow and do-follow link. Thanks Farabi, Bangladesh
use no-dofollow in mozilla firefox, or otherwise you can simple use the inspect element of Google Chrome to check the link manually to see if the link has the tag in its ahref code!
Do-Follow such an attribute value of links, who has a great value to search engines, like Google. And No-Follow links are fully opposite of Do-Follow. If you make your link in No-Follow than you can get a few traffic from those site where your link is listed.
Different plugins/addons are available on different search engine. You can use that for free in which you feel comfort.
I am using the tool or you can say chrome add-on that is SEOquake. It shows no follow links with a cross line on it. so its the easiest and fastest way.
You can use one of the best tool for knowing no-follow or do-follow links.Backlinks from do-follow links are important for our site while no-follow links don't provide more link juice and traffic comparatively do-follow links.
You can check it manually also right click on the link and open properties there you will know about dofollow and nodofollow.