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Use Euclid’s division algorithm to find the HCF of (196) and (38220).

Question

Use Euclid’s division algorithm to find the HCF of \(196\) and \(38220\).

Answer

\(196\)
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Solution

We have,Dividend \( =38220 \) and Divisor \( =196 \)
By Euclid's Division Lemma
Dividend \( = \) \((\)Divisor \( \times \) Quotient \( + \) Remainder\()\)

Therefore, \( 38220=196\times195+0 \)
 As remainder \( = 0 \) when divisor\(=196\) therefore by Euclid's Division Algorithm, when remainder becomes \( 0 \) , divisor is the \( HCF \)
Hence, HCF \( (196,38220)=196 \).
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Correct47
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