There are many rules for the articles in German and if you know them it'll be much easier to know the correct article for most of the words and then you only need to memorise the ones that are seemingly illogic and the exceptions.
Here are a few examples:
word ending
masculine: -er (Lehrer, Herrscher), -ling (Schmetterling, Lehrling)
feminine: -e (Ente, Ausnahme), -ung (Endung, Befragung), -keit/-heit (Machbarkeit, Freiheit), -in (Lehrerin)
neuter: -o (Kino, Radio), -ma (Dilemma, Thema), -um (Forum, Stadium), -chen (Mädchen, Herrchen)
"type" of thing
masculine: months (Januar, April), days (Montag, Mittwoch), times of the day (Morgen, Mittag, Abend), winds (Orkan, Taifun, Monsun), precipitation (Regen, Schnee, Hagel)
feminine: tree (Eiche, Kiefer), numbers (Eins, Zwei)
neuter: metal (Gold, Blei, Silber), letters of the alphabet (A, B)
Here you can find some more rules: