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Find the HCF of the pairs of numbers 75 and 243.

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By applying Euclid’s Division lemma on 243 and 75 

243 = 75 x 3 + 18. 

Since remainder ≠ 0, apply division lemma on 75 and remainder 18 

75 = 18 x 4 + 3. 

Since remainder ≠ 0, apply division lemma on divisor 18 and remainder 3 

18 = 3 x 6+ 0. 

Therefore, H.C.F. of 75 and 243 is 3.

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