Given the H.C. F of two numbers as 7 and their L.C.M as 210. If one of the…

To find the missing number, you can use the fundamental property relating the Highest Common Factor (HCF) and the Least Common Multiple (LCM) of two numbers.

The Property
For any two numbers, the product of the numbers is equal to the product of their HCF and LCM:
First Number * Second Number = HCF * LCM

Step-by-Step Calculation
Identify the given values:

HCF = 7

LCM = 210

First Number = 35

Second Number = ? (Let's call it x)

Set up the equation:
35 * x = 7 * 210

Solve for x:

x = (7 * 210) / 35

First, simplify 7 / 35:

x = (1 * 210) / 5

x = 42