27
27 and 108 respectively
The HCF is: 27
124
The HCF of the numbers 540 and 108 is 108.
It is: 12
It is: 12
4
It is 12
It is 36
The HCF of 108 and 336 is 12
For any two counting numbers x and y:LCM(x, y) x HCF(x, y) = Product of x and yLCM(x, y) = (Product of x and y)/HCF(x, y)Here, we have 108 and 135 & their product = 108 x 135But, HCF(108, 135) = ?So, we shall first calculate HCF by the method of prime factorization.108 = 33x22 & 135 = 33x51It is clear that 33 is the HCF of 108 and 135.So, LCM(108, 135) = (108 x 135)/33 = 4 x 135 = 540
Well, let's think of the Highest Common Factor (HCF) like a happy little friend that helps us find the biggest number that can divide evenly into all three numbers. If we look at 54, 81, and 108, we can see that the HCF is 27 because it is the largest number that can divide evenly into all three numbers. Just like painting a beautiful landscape, finding the HCF is all about looking for the common elements that bring everything together harmoniously.