Question

the hcf of 120 and k is 30 .The value of k can be equal to A)60. B)24. C)36. D)210.

Answer 1

The value of k is equal to 210


Just try taking out HCF of 120 with all four options

Answer 2

The HCF of 120 and k is 30 . The Value of k can be equal to ______ ?

Answer : $\bold{k = 210}$

Explanation -

Finding the HCF of 120 and 210 by Prime Factorisation

Prime Factors of 120 = 2 x 2 x 2 x 3 x 5

Prime Factors of 210 = 2 x 3 x 5 x 7

Common Factors of 120 and 210 = 2 x 3 x 5 = 30 .

HCF of 120 and 210 = 30 .

Hence :

$\bold{HCF \: of \: 120 \: and \: k \: is \: 30 \:. \: when \: k = 210}$