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Which of the following pairs are co-prime?
- a)6 and 8
- b)9 and 15
- c)8 and 25
- d)12 and 18
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
Which of the following pairs are co-prime?a)6 and 8b)9 and 15c)8 and 2...
Understanding Co-prime Numbers
Co-prime numbers, also known as relatively prime numbers, are pairs of numbers that have no common positive factors other than 1. This means their greatest common divisor (GCD) is 1.
Analysis of Each Pair
Let's evaluate each pair to determine if they are co-prime:
a) 6 and 8
- Factors of 6: 1, 2, 3, 6
- Factors of 8: 1, 2, 4, 8
- Common Factor: 2
- GCD: 2
- Conclusion: Not co-prime
b) 9 and 15
- Factors of 9: 1, 3, 9
- Factors of 15: 1, 3, 5, 15
- Common Factor: 3
- GCD: 3
- Conclusion: Not co-prime
c) 8 and 25
- Factors of 8: 1, 2, 4, 8
- Factors of 25: 1, 5, 25
- Common Factor: 1
- GCD: 1
- Conclusion: Co-prime
d) 12 and 18
- Factors of 12: 1, 2, 3, 4, 6, 12
- Factors of 18: 1, 2, 3, 6, 9, 18
- Common Factors: 1, 2, 3, 6
- GCD: 6
- Conclusion: Not co-prime
Final Conclusion
Among the pairs listed, only 8 and 25 are co-prime. Their only common factor is 1, making them relatively prime to each other. Thus, the correct answer is option 'C'.
Co-prime numbers, also known as relatively prime numbers, are pairs of numbers that have no common positive factors other than 1. This means their greatest common divisor (GCD) is 1.
Analysis of Each Pair
Let's evaluate each pair to determine if they are co-prime:
a) 6 and 8
- Factors of 6: 1, 2, 3, 6
- Factors of 8: 1, 2, 4, 8
- Common Factor: 2
- GCD: 2
- Conclusion: Not co-prime
b) 9 and 15
- Factors of 9: 1, 3, 9
- Factors of 15: 1, 3, 5, 15
- Common Factor: 3
- GCD: 3
- Conclusion: Not co-prime
c) 8 and 25
- Factors of 8: 1, 2, 4, 8
- Factors of 25: 1, 5, 25
- Common Factor: 1
- GCD: 1
- Conclusion: Co-prime
d) 12 and 18
- Factors of 12: 1, 2, 3, 4, 6, 12
- Factors of 18: 1, 2, 3, 6, 9, 18
- Common Factors: 1, 2, 3, 6
- GCD: 6
- Conclusion: Not co-prime
Final Conclusion
Among the pairs listed, only 8 and 25 are co-prime. Their only common factor is 1, making them relatively prime to each other. Thus, the correct answer is option 'C'.
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Community Answer
Which of the following pairs are co-prime?a)6 and 8b)9 and 15c)8 and 2...
In 8 and 5, the only common factor is 1.
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Which of the following pairs are co-prime?a)6 and 8b)9 and 15c)8 and 25d)12 and 18Correct answer is option 'C'. Can you explain this answer? for Class 8 2026 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about Which of the following pairs are co-prime?a)6 and 8b)9 and 15c)8 and 25d)12 and 18Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 8 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following pairs are co-prime?a)6 and 8b)9 and 15c)8 and 25d)12 and 18Correct answer is option 'C'. Can you explain this answer?.
Which of the following pairs are co-prime?a)6 and 8b)9 and 15c)8 and 25d)12 and 18Correct answer is option 'C'. Can you explain this answer? for Class 8 2026 is part of Class 8 preparation. The Question and answers have been prepared according to the Class 8 exam syllabus. Information about Which of the following pairs are co-prime?a)6 and 8b)9 and 15c)8 and 25d)12 and 18Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 8 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following pairs are co-prime?a)6 and 8b)9 and 15c)8 and 25d)12 and 18Correct answer is option 'C'. Can you explain this answer?.
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