hdd compatibility

What needs to be checked for a hdd change on a laptop? Can an hdd from another laptop brand be used on the other, fpr example using a dell laptop hdd on a asus laptop, is there any universal size for the hdd or do each laptop have a specific size or fit ? In this case its for a Toshiba c45...

I have Gigabyte Z370M D3h Motherboard, I have 2 different Hdds one is Segate Barracuda 1TB [old] and another one is Seagate (No name) 1TB [new]. Now when I plugged both in, the New No Name HDD becomes slow, reaches 100% active time/usage when browsing or copying small files and I can't even...