HCF of 72, 80 and 120 by Euclid's division Lemma
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Euclid:
80/72 leaves a remainder of 8 and 8 divides 72 evenly, so GCD(72,80) = 8.
8 also divides 120 evenly (8*15 = 120) so GCD(72,80,120) = 8 as well.
FTA:
72 = 2^3 * 3^2
80 = 2^4 * 5^1
120 = 2^3 * 3^1 * 5^1
The only common prime factor is 2, and the smallest exponent is 3, so
GCD(72, 80, 120) = 2^3 = 8
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