Question

If the ratio of two numbers is 5:6 and their lcm is 480 then their hcf is ?​

Answer 1

Answer:

Let numbers are 5N and 6N.

Let numbers are 5N and 6N.Now, HCF of these two numbers is N.

Let numbers are 5N and 6N.Now, HCF of these two numbers is N.We know that,

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

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

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

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