L.C.M. of two numbers is 35322. If numbers are in ratio 1:3, then H.C.F is

To find the Highest Common Factor (H.C.F.) of two numbers when their ratio and Least Common Multiple (L.C.M.) are known, you can use the relationship between these values.

The Concept
When two numbers are in a ratio a:b, and their H.C.F. is H, the numbers are Ha and Hb. The L.C.M. of these two numbers is given by the formula:
L.C.M. = H * a * b

Step-by-Step Calculation
Identify the given values:

Ratio = 1 : 3 (so a = 1 and b = 3)

L.C.M. = 35322

Apply the formula to find H (H.C.F.):

35322 = H * 1 * 3

35322 = H * 3

H = 35322 / 3

H = 11774