Question

if the HCF of 867 and 255 is expressed in the form 867×3+255x

Answer 1

using Euclid division algorithm.

867 = 255×3+102

255 = 102×2+51

102 = 51×2+0

therefore HCF of 867 and 255 is 51.

867×3+255x = 51. (HCF)

2601+255x = 51

255x = 51-2601

255x = -2550

x = -10.is the answer