Beta, Euclid's division lemma is just like this: keep dividing the bigger number by the smaller one until you get zero remainder. So, for 867 and 255, first divide 867 by 255. You get remainder 102. Now divide 255 by this 102, and so on, until the remainder is zero. The last divisor is your HCF.
My chacha’s loan EMI taught me this step-by-step discipline—you tackle the biggest payment first, then the next, until it’s all settled.
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