Question

If the lcm of two numbers is 216 and their product is 7776 what will be it's hcf

Answer 1

THE REQUIRED ANSWER IS ⏩ 36 ⏪

Given that

LCM : 216 , and

Product of the two numbers : 7776

As we know that

Product of two numbers = HCF × LCM

7776 = 216 × HCF

$hcf \: = \frac{7776}{216}$

HCF = 36

Answer 2

Given:

The LCM of two numbers is 216, the product of the same two numbers i 7776.

To Find:

The HCF of the two numbers will be?

Solution:

The given problem can be solved using the concepts of LCM and HCF.

1. The product of two numbers is 7776, the LCM of the same two numbers is 216.

2. Consider two numbers a and b. According to the properties of LCM and HCF, the product of the two numbers is equal to the product of their HCF and LCM.

=> Product of two numbers = LCM x HCF

=> a x b = (LCM of a, b) x ( HCF of a, b),

3. Use the formula mentioned above to find the HCF.

=> 7776 = 216 x HCF,

=> HCF = 7776/216,

=> HCF = (6 x 6 x 6 x 36/6 x 6 x 6),

=> HCF = 36.

Therefore, the HCF of the two numbers is 36.