Math, asked by Rohanrkgmailcon, 1 year ago

8840 and 23120 find hcf by euclied


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Answers

Answered by kvnmurty
114
Following the Euclid algorithm:

23120 = 8840 × 2 + 5440
8840 = 5440 × 1 + 3400
5440 = 3400 ×1 + 2040
3400 = 2040 × 1 + 1360
2040 = 1360 × 1 + 680
1360 = 680 × 2 + 0

680 is the GCD .


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Answered by Anonymous
112

 \huge \bf{HEY  \: FRIENDS!!}


-------------------------------------------------------



 \huge \bf \underline{Here \:  is \:  your \:  answer↓}


⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇⬇



▶⏩ Find the HCF by Euclid's Division lemma:-)

↪➡ 23120 and 8840.


 \huge \boxed{ By  \: Euclid's \:  Division \:  lemma}

 \huge \underline{a = bq + r.}


▶⏩ Here a = 23120
and b = 8840.
q = quotient.
r = remainder.


▶⏩ Now, according to Euclid's Division lemma:-)

 \bf  =  > 23120 = 8840 \times 2 + 5440.

 \bf =  > 8840 = 5440 \times 1 + 3400.


 \bf =  > 5440 = 3400  \times 1 + 2040.


 \bf =  > 3400 = 2040 \times 1 + 1360.


 \bf =  > 2040 = 1360 \times 1 + 680.


 \bf =  > 1360 = 680 \times 2 + 0.


 \huge \bf \boxed{HCF = 680.}



✔✔ Hence, HCF by Euclid's Division lemma is finded.✅✅


 \huge \boxed{THANKS}


 \huge \bf \underline{Hope  \: it \:  is \:  helpful \:  for  \: you}


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