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What is the greatest common factor of positive integers x and y?
1) x and y share only one common factor. ?
2) x and y are unique prime numbers. ?
- a)Exactly one of the statements can answer the question
- b)Both statements are required to answer the question
- c)Each statement can answer the question individually
- d)More information is required as the information provided is insufficient to answer the question
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
What is the greatest common factor of positive integers x and y?1) x a...
To find the greatest common factor (GCF) of positive integers x and y, we need to determine the largest number that divides both x and y without leaving a remainder. Let's analyze each statement separately:
1) x and y share only one common factor:
In this case, if x and y have only one common factor, then their GCF would be that common factor. For example, if x=5 and y=10, their only common factor is 5, so the GCF would be 5. Therefore, statement 1 alone is sufficient to answer the question.
2) x and y are unique prime numbers:
If x and y are unique prime numbers, then their only common factor would be 1. This is because prime numbers are only divisible by 1 and themselves. Therefore, the GCF of x and y in this case would be 1. Thus, statement 2 alone is also sufficient to answer the question.
Conclusion:
Both statements 1 and 2 individually provide sufficient information to determine the GCF of positive integers x and y. Therefore, each statement can answer the question individually. Thus, the correct answer is option C.
1) x and y share only one common factor:
In this case, if x and y have only one common factor, then their GCF would be that common factor. For example, if x=5 and y=10, their only common factor is 5, so the GCF would be 5. Therefore, statement 1 alone is sufficient to answer the question.
2) x and y are unique prime numbers:
If x and y are unique prime numbers, then their only common factor would be 1. This is because prime numbers are only divisible by 1 and themselves. Therefore, the GCF of x and y in this case would be 1. Thus, statement 2 alone is also sufficient to answer the question.
Conclusion:
Both statements 1 and 2 individually provide sufficient information to determine the GCF of positive integers x and y. Therefore, each statement can answer the question individually. Thus, the correct answer is option C.
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What is the greatest common factor of positive integers x and y?1) x a...
Information provided here is x and y are positive integers .
according to a statement 1
X and yhave only one common factor .
this means x and y are coprime. hence the greatest common factor will be one.
this statement is able to answer the question.
according to a statement 2
x and y are unique prime numbers, hence their HCF will be 1.
this statement is also able to answer the question.
show the correct answer is option c
according to a statement 1
X and yhave only one common factor .
this means x and y are coprime. hence the greatest common factor will be one.
this statement is able to answer the question.
according to a statement 2
x and y are unique prime numbers, hence their HCF will be 1.
this statement is also able to answer the question.
show the correct answer is option c
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What is the greatest common factor of positive integers x and y?1) x and y share only one common factor. ?2) x and y are unique prime numbers. ?a)Exactly one of the statements can answer the questionb)Both statements are required to answer the questionc)Each statement can answer the question individuallyd)More information is required as the information provided is insufficient to answer the questionCorrect answer is option 'C'. Can you explain this answer?
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