The LCM of two numbers is 35322. If the numbers are in the ratio 1:3, then HCF is:radio_button_unchecked11774radio_button_unchecked35322radio_button_unchecked23542radio_button_unchecked58870

The formula to find the LCM (Least Common Multiple) of two numbers when their HCF (Highest Common Factor) and ratio is known is:

LCM = HCF * (Product of the ratio)

Given that the LCM is 35322 and the ratio of the two numbers is 1:3, we can substitute these values into the formula to find the HCF.

Let's denote the two numbers as a and b, and their HCF as h. According to the ratio given, we can say that a = h and b = 3h.

Substituting these values into the formula, we get:

35322 = h * (h * 3h)

Solving this equation for h, we get:

h = sqrt(35322 / 3)

Calculating the above expression, we find that h is approximately 11774.

Therefore, the HCF of the two numbers is 11774.