Find the HCF of 867 and 255 by using Euclid Division algorithm
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867 = 255 × 3 + 102
255 = 102 × 2 + 51
102 = 51 × 2 + 0
H•C•F = 51
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since 867 > 255,we apply the division lemma to 867 and 255 to obtain
867=255×3+102
since remainder 102≠0,we apply he division lemma to 255 and 102 to obtain
255=102×2+51
we consider, the new divisor 102 and new remainder 51, and the division lemma to obtain
102=51×2+0
since the remainder is 0,the process stops
since the divisor at this stage is 51
Therefore the HCF of 867 and 255 is 51
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