What is the range of transaction fees when you move your coins off of an exchange to a hardware wallet (Ledger Nano S)?

I moved some ltc onto a hardware wallet from GDAX today and noticed I lost about 100$ in the process. From what I understand, when you move crypto off of GDAX, there aren't supposed to be any fees, but I did in fact pay tX fees, without any notifications from GDAX before I moved them. Since I was under the assumption that there were no fees, I completely disregarded the "Default transaction fee" setting in the Ledger Wallet app. I did have the default transaction fee set to the default of high in the Ledger Wallet app. I've switched it to low now, however, does anyone know the difference in prices for the low, standard, and high tiers? Thanks!

EDIT: Described the process in more detail

/r/litecoin Thread