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ILLUSTRATION : 2 Let us find the H.C.F. of 60 and 108 using the Euclid's Division Algorithm.

NEET/Medical Exams
Maths
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Solution
48
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D010A . SOLUTION : Step (i): Since, 108> 60 applying Euclid's Lemma to 60 and 108, we have 108 = 60x 1 +48 where 0 < 48<60 Step (ii): Since, remainder 48 70 So, again applying the division lemma to 60 and 48, we have 60=48 x 1 + 12 where 0 < 12<48. Step (ii) : Again remainder 12 + 0 so applying division lemma to 48 and 12, we get 48= 12 * 4+0. Here remainder is zero. Therefore, 12 is the required H.C.F.
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