Question

using Euclid division lemma find hcf of 244 and 567

Answer 1

ʟᴇᴛ ᴀ , ʙ ʙᴇ ᴛᴡᴏ ᴘᴏsɪᴛɪᴠᴇ ɪɴᴛᴇɢɢᴇʀ ᴡʜᴇʀᴇ ᴀ > ʙ

ᴀ = 567

ʙ = 244

ʙʏ ᴇᴜᴄʟɪᴅs ᴅɪᴠɪsɪᴏɴ ʟᴇᴍᴍᴀ

ᴀ= ʙϙ +ʀ --------{ ʙ > ʀ > _0}

567 = 244×2 +79

244=79×3 + 7

79= 7×11+2

7=2×3+1

2=1×2+0

ᴛʜᴇ ʜᴄғ ᴏғ 567 ᴀɴᴅ 244 ɪs 1

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