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Q.

What is the HCF of 867 and 255 using Euclid theorem.


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a

50

b

51

c

52

d

53 

answer is B.

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Detailed Solution

Here, first number given as,
a=867 
Another number is,
b=255 Here,
867>255, 
a>b
From division lemma the number 867 can be written as,,
867=255×3+102
Here reminder is not equal to zero, so continue the process by rewriting the number 255,
255=102×2+51,
Again,
102=51×2+0
Here, remainder become zero.
So, we get highest common factor or HCF of given number, which is 51.
So, option 2 is correct.
 
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