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Find the HCF of 27, 63.
- a)2
- b)6
- c)3
- d)9
Correct answer is option 'D'. Can you explain this answer?
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Find the HCF of 27, 63.a)2b)6c)3d)9Correct answer is option 'D'. Can y...
Factors of 27 = 3 x 3 x 3
Factors of 63 = 3 x 3 x 7
H.C.F. (27, 63) = 3 x 3 = 9
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Find the HCF of 27, 63.a)2b)6c)3d)9Correct answer is option 'D'. Can y...
To find the Highest Common Factor (HCF) of two numbers, we can use different methods such as prime factorization, division method, or the Euclidean algorithm. Let's use the prime factorization method to find the HCF of 27 and 63.
1. Prime factorization of 27:
- We start by dividing 27 by the smallest prime number, which is 2. But 27 is not divisible by 2.
- Next, we try dividing by 3, and we get 27/3 = 9. So, we have one factor of 3.
- Now, we divide 9 by 3 again, and we get 9/3 = 3. So, we have two factors of 3.
- Therefore, the prime factorization of 27 is 3 x 3 x 3, or 3^3.
2. Prime factorization of 63:
- We divide 63 by 3, and we get 63/3 = 21. So, we have one factor of 3.
- Next, we divide 21 by 3 again, and we get 21/3 = 7. So, we have two factors of 3.
- Therefore, the prime factorization of 63 is 3 x 3 x 7, or 3^2 x 7.
3. Finding the common factors:
- To find the common factors, we look at the prime factorization of both numbers.
- The common factor between 27 and 63 is 3, as both numbers have two factors of 3.
4. Finding the HCF:
- To find the HCF, we take the product of the common factors.
- In this case, the HCF of 27 and 63 is 3.
Therefore, option D (9) is the correct answer.
1. Prime factorization of 27:
- We start by dividing 27 by the smallest prime number, which is 2. But 27 is not divisible by 2.
- Next, we try dividing by 3, and we get 27/3 = 9. So, we have one factor of 3.
- Now, we divide 9 by 3 again, and we get 9/3 = 3. So, we have two factors of 3.
- Therefore, the prime factorization of 27 is 3 x 3 x 3, or 3^3.
2. Prime factorization of 63:
- We divide 63 by 3, and we get 63/3 = 21. So, we have one factor of 3.
- Next, we divide 21 by 3 again, and we get 21/3 = 7. So, we have two factors of 3.
- Therefore, the prime factorization of 63 is 3 x 3 x 7, or 3^2 x 7.
3. Finding the common factors:
- To find the common factors, we look at the prime factorization of both numbers.
- The common factor between 27 and 63 is 3, as both numbers have two factors of 3.
4. Finding the HCF:
- To find the HCF, we take the product of the common factors.
- In this case, the HCF of 27 and 63 is 3.
Therefore, option D (9) is the correct answer.
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Find the HCF of 27, 63.a)2b)6c)3d)9Correct answer is option 'D'. Can y...
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Find the HCF of 27, 63.a)2b)6c)3d)9Correct answer is option 'D'. Can you explain this answer? for Class 6 2025 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about Find the HCF of 27, 63.a)2b)6c)3d)9Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 6 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the HCF of 27, 63.a)2b)6c)3d)9Correct answer is option 'D'. Can you explain this answer?.
Find the HCF of 27, 63.a)2b)6c)3d)9Correct answer is option 'D'. Can you explain this answer? for Class 6 2025 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about Find the HCF of 27, 63.a)2b)6c)3d)9Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 6 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the HCF of 27, 63.a)2b)6c)3d)9Correct answer is option 'D'. Can you explain this answer?.
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