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Q.

Using Euclid’s division algorithm, find the HCF of 196 and 38220.


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a

    340

b

    196

c

    230

d

    120 

answer is B.

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Detailed Solution

Given,
The numbers are196 and 38220.
Let a=196   and b=38220  ,
Now as we know,
Euclid division lemma states that if we have two numbers a and b, then there exist unique integers p   and q which satisfies the condition a=bq+r,0≤r<b  .
Using Euclid division lemma, we get,
⇒38220=196×195+0 ⇒HCF=196  
The reminder is 0.
Thus, the HCF of 196 and 38220 is 196.
Therefore, option(2)     is correct answer.
 
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Using Euclid’s division algorithm, find the HCF of 196 and 38220.