Answer :

H.C.F of 120, 180 and 240 is calculated by Euclid Division Lemma :

Out of 120 and 180, 180 is greater

180 = 120 × 1 + 60

120 = 60 × 1 + 0

Since the remainder is 0 so H.C.F of 120 and 180 is 60.

Similarly H.C.F of 240

240 = 60 x 4 + 0

Hence, the remainder is 0

So the H.C.F of 120,180 and 240 is 60

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