Gyarados can learn the following moves with the levels included:
(--) Thrash
(20) Bite
(23) Dragon Rage
(26) Leer
(29) Twister
(32) Ice Fang
(35) Aqua Tail
(38) Rain Dance
(41) Hydro Pump
(44) Dragon Dance
(47) Hyper Beam
HMs and TMs:
(TM03) Water Pulse
(TM05) Roar
(TM06) Toxic
(TM07) Hail
(TM10) Hidden Power
(TM12) Taunt
(TM13) Ice Beam
(TM14) Blizzard
(TM15) Hyper Beam
(TM17) Protect
(TM18) Rain Dance
(TM21) Frustration
(TM24) Thunderbolt
(TM25) Thunder
(TM26) Earthquake
(TM27) Return
(TM32) Double Team
(TM35) Flamethrower
(TM37) Sandstorm
(TM38) Fire Blast
(TM41) Torment
(TM42) Facade
(TM43) Secret Power
(TM44) Rest
(TM45) Attract
(TM55) Brine
(TM58) Endure
(TM59) Dragon Pulse
(TM66) Payback
(TM68) Giga Impact
(TM71) Stone Edge
(TM72) Avalanche
(TM73) Thunder Wave
(TM78) Captivate
(TM79) Dark Pulse
(TM82) Sleep Talk
(TM83) Natural Gift
(TM87) Swagger
(TM90) Substitute
(HM03) Surf
(HM04) Strength
(HM06) Rock Smash
(HM07) Waterfall Platinum Move Tutor Attacks:
Dive
Icy Wind
Snore
Spite
Uproar
Aqua Tail
Bounce
Iron Head
Outrage
Twister
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No.Magikarp cannot learn any TM moves if it evolves into gyarados then gyarados can learn TM moves and HM moves too. I Hope i helped you!
Gyarados is a dragon type of Pokémon that evolves from Magikarp. It can learn various moves such as dragon dance.
Gyarados should learn Bite once Magikarp evolves at lv 20. Gyarados will then learn Dragon Rage at 25, Leer at 32, Hydro Pump at 41, and Hyper Beam at 52. Gyarados will also learn moves if you teach it TMs and HMs.
If you don't want it to learn any hm moves, then let it learn thrash, ice fang, bite, and use a TM a let it learn flamethrower.
Gyarados can learn water,dragon and some flying type moves. It can learn useful water moves like surf, waterfall and whirlpool. It can also learn dragon moves like dragon rage and dragon breathe. Despite being a water type because it's secondary type is dragon it can learn the move fireblast. Hyperbeam makes Gyarados even more powerful.