First, apply Euclid’s division lemma to 867 and 255: 867 = 255 × 3 + 102. Now, take 255 as dividend and 102 as divisor: 255 = 102 × 2 + 51. Continue with 102 and 51: 102 = 51 × 2 + 0. The last non-zero remainder, 51, is the HCF. Preparing such step-by-step notes reminds me of my sitar students—just as we find the fundamental note through patient repetition, mathematics finds harmony through these orderly steps.
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