Which of the following is the H.C.F. of 1.5, 3 and 0.6?

2024

Which of the following is the H.C.F. of 1.5, 3 and 0.6?

  1. A.

    0.3

  2. B.

    0.7

  3. C.

    6.8

  4. D.

    4.5

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Correct answer: A

To find the Highest Common Factor (H.C.F.) of decimal numbers like 1.5, 3, and 0.6, follow these steps to make the calculation straightforward:

Step-by-Step Calculation
1. Standardize the decimals:
Convert all numbers to have the same number of decimal places by padding with zeros:

1.5 becomes 1.5

3 becomes 3.0

0.6 remains 0.6

2. Convert to integers:
Multiply all numbers by 10 to remove the decimal points:

1.5 * 10 = 15

3.0 * 10 = 30

0.6 * 10 = 6

3. Find the H.C.F. of the integers:
Now, find the H.C.F. of 15, 30, and 6.

Factors of 15: 1, 3, 5, 15

Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30

Factors of 6: 1, 2, 3, 6

The greatest common factor among these sets is 3.

4. Convert back to the decimal format:
Divide the result by 10 to adjust for the initial multiplication:

3 / 10 = 0.3

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