Use Euclid's division algorithm to find the HCF of 867 and 255.

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answer is A.

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Detailed Solution

Given numbers are 867 and 255.
Euclid's Division Lemma states that, if two positive integers “a” and “b”, then there exists unique integers “q” and “r” such that which satisfies the condition

a = bq + r

where

0 \leq r \leq b

.
Apply Euclid’s division lemma,

a = bq + r

\Rightarrow 867 = 255 (3) + 102

\Rightarrow 255 = 102 (2) + 51

\Rightarrow 102 = 51 (2) + 0

Therefore, the H.C.F of 867 and 255 is 51.
Hence, option 1 is correct.

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