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Q.

Use Euclid's algorithm to find the HCF of 4052 and 12576 .


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a

     4.

b

    6

c

    12

d

    10   

answer is A.

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Detailed Solution

Given,
The numbers  are 4052 and 12576.
Let a=12576   and b=4052  ,
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 algorithm, we get,
⇒12576=4052×3+420  
⇒4052=420×9+272   ⇒420=272×1+148   ⇒420=148×2+124   ⇒148=124×1+24    ⇒124=24×5+4   ⇒24=4×6+0  
Now remainder is zero,
Hence, the HCF is 4.
Therefore, option(1)     is correct answer.
 
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