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

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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 \times 3 + 102

Here reminder is not equal to zero, so continue the process by rewriting the number 255,

255 = 102 \times 2 + 51,

Again,

102 = 51 \times 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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