Question

given that hcf (16,x)=8 and lcm (16,x) =48 find the value of x​

Answer 1

Answer:

x = 24

Step-by-step explanation:

Given:

• 2 numbers are 16, x

• HCF of these 2 numbers = 8
• LCM of these 2 numbers = 48

To find:

Value of x = ?

Solution:

For solving this question, we apply a very important identity in Arithmetic which states that:

HCF × LCM = Product of 2 numbers

Substitute the given values in the above identity

⇒ 8 × 48 = 16x

⇒ 16x = 384

⇒ x = 384 ÷ 16

⇒ x = 24

∴ The value of x = 24