Question

use euclid division method to find the hcf of 867 and 255​

Answer 1

$\huge{\underline{\underline{\sf{\pink{Answer:-}}}}}$

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