en.wiktionary.org is great for Hangul Super- Newbie learners. For example, [en.wiktionary.org 기계](https://en.wiktionary.org/wiki/%EA%B8%B0%EA%B3%84) gives me 3 Kanji (Hanja) meanings/readings for 기계 (gigye) ==> 機械, 器械, 奇計 ( btw, in Jp ( Japanese ), 機械, 器械 is Kikai, and 奇計 is Kikei. -- and also the pitch accents (intonations) are different. ) What other Hanja meanings are there for 기계 (gigye) ?
If you would like to find more information about Hanja then I would suggest Naver dictionary's hanja feature! It is absoultley fantastic for finding the roots of words and more korean words derived from the desired hanja. https://hanja.dict.naver.com. Other hanja for 기계 include, 氣界, 碁界, 杞溪, and 氣系. However the 기계 機械 you already mentioned is by far the most commonly used word in Korea. Hopefully you like these resources!