Question

Two numbers are in the ratio 9:5 if lcm is 900 what is hcf

Answer 1

HCF = x

So 9x  *  5x = 900x

45x²/x = 900

x = 900/45 = 20

So HCF is 20

Numbers are 9*20 = 180 and 45*5 = 225

Answer 2

Given :

• Two numbers are in the ratio 9:5
• LCM is 900

To find : Their HCF

Solution :

We can simply solve this mathematical problem by using the following mathematical process.

Let, the two numbers = 9x and 5x

(obtained from the ratio 9:5)

The HCF of two numbers :

9x = 3 × 3 × x

5x = 5 × x

Common factor = x

HCF = x

Now, we know that :

Product of two numbers = Their LCM × Their HCF

By putting the given and obtained data in the above-mentioned mathematical equation, we get :

9x × 5x = 900 × x

45x² = 900x

45x²/x = 900

x = 900/45

x = 20

Their HCF = x = 20

Hence, the HCF of the two numbers is 20