Foundation
Mathematics Foundation
Euclids Definitions Axioms and Postulates
HCF and LCM
Question

Use Euclids division algorithm to find the HCF of: 867 and 225

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Solution
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867 is grater than 225

867 = 225 × 3 + 192

225 = 192 × 1 + 33

192 = 33 × 5 + 27

33 = 27 × 1 + 6

27 = 6 × 4 + 3

6 = 3 × 2 + 0

The HCF of (867 and 225) is 3.