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?
- A.
0.3
- B.
0.7
- C.
6.8
- 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