Question

Find the HCF of $$70, 105, 175$$

Answer 1

$$ 70, 105, 175 $$

Factors of $$ 70 = \underline{1}, 2, \underline {5}, 7, 10,14 \underline {35} , 70 $$
Factors of $$ 105 = \underline {1}, 3 , \underline {5} , \underline {7} , 10, 14, \underline {35} , 105 $$
Factors of $$ 175 = \underline {1} , \underline {5} , \underline {7} , 25, \underline {35}, 175 $$
$$ \therefore $$ Common factors $$ 1, 5, 7 ,35 $$
$$ \therefore $$ H.C.F. of $$ 70, 105, 175 $$ is $$ 35 $$