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The H.C.F of 66 and another number is 33. Their L.C.M is 198. Find the other number

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Final answer:

Using the property that the product of the H.C.F and L.C.M equals the product of the numbers themselves, we find that the other number is 99.

Step-by-step explanation:

One of the properties of H.C.F (Highest Common Factor) and L.C.M (Least Common Multiple) states that the product of the H.C.F and L.C.M of two positive integers is equal to the product of the integers themselves.

Therefore, these conditions give us the equation: H.C.F * L.C.M = Product of the numbers. The question provides us with the H.C.F (33), L.C.M (198), and one of the numbers (66). We can use this information to find the other number.

The equation becomes: 33 * 198 = 66 * X

Solving for X, we find the number to be 99.

Learn more about H.C.F and L.C.M

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