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Question
Define HOE of two positive integers and find the HCF of the following pair of numbers:
75 and 243
Solution
By applying Euclid’s division lemma
243 = 75 × 3 + 18
Since remainder ≠ 0, apply division lemma on divisor of 75 and remainder 18.
75 = 18 × 4 + 3
Since remainder ≠ 0, apply division lemma on divisor of 18 and remainder 3.
18 = 3 × 6 + 0
∴ HCF of 243 and 75 is = 3.
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