Question:
H.C.F. of 2023, 2024, 2025 is:
H.C.F. of 2023, 2024, 2025 is:
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When finding the HCF of numbers, check their prime factorizations and look for common factors. If no common factors exist other than 1, the HCF is 1.
Updated On: Apr 17, 2025
- 2024
- 2023
- 0
- 1
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The Correct Option is D
Solution and Explanation
To find the HCF (Highest Common Factor) of the numbers 2023, 2024, and 2025, we check the factors of each:
- The prime factorization of 2023 is \(7 \times 17^2\),
- The prime factorization of 2024 is \(2^3 \times 11 \times 23\),
- The prime factorization of 2025 is \(5^2 \times 3^4\).
Since there is no common factor between these three numbers except for 1, the HCF of 2023, 2024, and 2025 is 1.
Thus, the correct answer is 1.
- The prime factorization of 2023 is \(7 \times 17^2\),
- The prime factorization of 2024 is \(2^3 \times 11 \times 23\),
- The prime factorization of 2025 is \(5^2 \times 3^4\).
Since there is no common factor between these three numbers except for 1, the HCF of 2023, 2024, and 2025 is 1.
Thus, the correct answer is 1.
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