Question

Hcf of 378,180,420 by prime factorisation

Answer 1

$378 = {2}^{1} \times {3}^{3} \times {7}^{1} \\ 180 = {2}^{2} \times {5}^{1} \times {3}^{2} \\ 420 = {2}^{2} \times {5}^{1} \times {3}^{1} \times {7}^{1} \\ \\ so \: common \: prime \: numbers \: are \: 2 \: \: and \: 3 \\ \\ so \: hcf \: = {2}^{1} \times {3}^{1} = 6$