Looking for quotes, examples, any experiments that you've run.
Now days Facebook is very strict on Facebook Pages & Groups. They don't allow any tools to invite everyone on one click or get some fake likes where the like count alone increases. .They want us to run Ads to increase likes with them.
But to work on the Organic way,
Focus on your Content. That's itself will bring you lots of Growth Hacking ideas based on whom the content targets.
Segregate your audience based on the product/service you sell & post contents.
Post engaging contents which can makes your audience to like, share or comment. This will help you to get more reach at free of cost.
I'm also trying this hack right now https://adespresso.com/academy/blog/10-facebook-ad-optimization-hacks-for-massive-success/ I'll let you know.
Best growth is organic, no matter what - organic, real people is real buyers. People like content which inspires action, for team women aus I write interviews then tag and pull people to the page, who end up liking it. Events are another way to get people engage.