Question

Using Euclid division lema find hcf of 244 567

Answer 1

Answer:

ʟᴇᴛ ᴀ , ʙ ʙᴇ ᴛᴡᴏ ᴘᴏsɪᴛɪᴠᴇ ɪɴᴛᴇɢᴇʀ 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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Answer 2

$\bf\blue{\underline{\boxed{Question}}}$

$\:$

$\small\bf{Using\:euclid\:division\:lemma \:to\:}$

$\small\bf{find\: hcf\: of \:244\:and\:567}$

$\:$

$\bf\blue{\underline{\boxed{Solution}}}$

$\:$

$\small\tt{567\:=\:244\:\times2\:+\:79}$

$\small\tt{244\:=\:79\:\times3\:+\:7}$

$\small\tt{79\:=\:7\:\times11\:+\:2}$

$\small\tt{7\:=\:2\:\times3\:+\:1}$

$\small\tt{2\:=\:1\:\times2\:+\:0}$

$\:$

$\small\bf\red{\underline{\boxed{Therefore,\: HCF\: of \:244\:and\:567\:is\:1}}}$

$\:$

$\bf\blue{\underline{\boxed{Hope\:It\: Help\:You}}}$