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Q.

Using Euclid's division algorithm, find the HCF of the numbers 466 and 361 .


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a

    5

b

    4

c

    1

d

    3 

answer is C.

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Detailed Solution

Given,
The numbers are 466 and 361.
Let a=466   and b=361  ,
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 algorithm, we get,
⇒466=361×1+105    ⇒361=105×3+46    ⇒105=46×2+13    ⇒46=13×3+7    ⇒13=7×1+6    ⇒7=6×1+1    ⇒6=1×6+0   ⇒HCF=1  
Therefore H.C.F of 466 and 361 is 1.
Therefore, option(3)     is correct answer.
 
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