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The H.C.F of 4 × 27 × 3125, 8 × 9 × 25 × 7 and 16 × 81 × 5 × 11 × 49 is:
- a)180
- b)360
- c)540
- d)1260
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The H.C.F of 4 × 27 × 3125, 8 × 9 × 25 × 7 and 16 × 81 × 5 × 11 × 49 ...
Given,
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4 × 27 × 3125
= 22 × 33 × 55
8 × 9 × 25 × 7
= 23 × 32 × 52 × 7
16 × 81 × 5 × 11 × 49
= 24 × 34 × 5 × 11 × 72
∴ H.C.F = 22 × 32 × 5 = 180
Hence, the correct option is (A).
Most Upvoted Answer
The H.C.F of 4 × 27 × 3125, 8 × 9 × 25 × 7 and 16 × 81 × 5 × 11 × 49 ...
The H.C.F (Highest Common Factor) of three numbers can be found by prime factorizing each number and finding the common factors.
Given numbers are:
1) 4 × 27 × 3125
2) 8 × 9 × 25 × 7
3) 16 × 81 × 5 × 11 × 49
Prime factorizing each number:
1) 4 × 27 × 3125 = 2^2 × 3^3 × 5^5
2) 8 × 9 × 25 × 7 = 2^3 × 3^2 × 5^2 × 7
3) 16 × 81 × 5 × 11 × 49 = 2^4 × 3^4 × 5 × 11 × 7^2
Finding the common factors:
The H.C.F is the product of the common prime factors raised to the lowest powers.
Common Prime Factors:
2, 3, 5, 7, 11
Lowest Powers:
2^2, 3^2, 5, 7
Product:
H.C.F = 2^2 × 3^2 × 5 × 7 = 180
Therefore, the H.C.F of 4 × 27 × 3125, 8 × 9 × 25 × 7, and 16 × 81 × 5 × 11 × 49 is 180.
Given numbers are:
1) 4 × 27 × 3125
2) 8 × 9 × 25 × 7
3) 16 × 81 × 5 × 11 × 49
Prime factorizing each number:
1) 4 × 27 × 3125 = 2^2 × 3^3 × 5^5
2) 8 × 9 × 25 × 7 = 2^3 × 3^2 × 5^2 × 7
3) 16 × 81 × 5 × 11 × 49 = 2^4 × 3^4 × 5 × 11 × 7^2
Finding the common factors:
The H.C.F is the product of the common prime factors raised to the lowest powers.
Common Prime Factors:
2, 3, 5, 7, 11
Lowest Powers:
2^2, 3^2, 5, 7
Product:
H.C.F = 2^2 × 3^2 × 5 × 7 = 180
Therefore, the H.C.F of 4 × 27 × 3125, 8 × 9 × 25 × 7, and 16 × 81 × 5 × 11 × 49 is 180.
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The H.C.F of 4 × 27 × 3125, 8 × 9 × 25 × 7 and 16 × 81 × 5 × 11 × 49 is:a)180b)360c)540d)1260Correct answer is option 'A'. Can you explain this answer? for CLAT 2025 is part of CLAT preparation. The Question and answers have been prepared according to the CLAT exam syllabus. Information about The H.C.F of 4 × 27 × 3125, 8 × 9 × 25 × 7 and 16 × 81 × 5 × 11 × 49 is:a)180b)360c)540d)1260Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for CLAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The H.C.F of 4 × 27 × 3125, 8 × 9 × 25 × 7 and 16 × 81 × 5 × 11 × 49 is:a)180b)360c)540d)1260Correct answer is option 'A'. Can you explain this answer?.
The H.C.F of 4 × 27 × 3125, 8 × 9 × 25 × 7 and 16 × 81 × 5 × 11 × 49 is:a)180b)360c)540d)1260Correct answer is option 'A'. Can you explain this answer? for CLAT 2025 is part of CLAT preparation. The Question and answers have been prepared according to the CLAT exam syllabus. Information about The H.C.F of 4 × 27 × 3125, 8 × 9 × 25 × 7 and 16 × 81 × 5 × 11 × 49 is:a)180b)360c)540d)1260Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for CLAT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The H.C.F of 4 × 27 × 3125, 8 × 9 × 25 × 7 and 16 × 81 × 5 × 11 × 49 is:a)180b)360c)540d)1260Correct answer is option 'A'. Can you explain this answer?.
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