The ratio of two numbers is 5 : 6 and their LCM is 480, then their HCF is

Let numbers are 5N and 6N.
Now, HCF of these two numbers is N.
We know that,
LCM x HCF = Product of two numbers
⇒ 480 x N = 5N x 6N
⇒ 480N = 30N²
⇒ N =16