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If P and q are natural numbers and p is the multiple of q then what is the hcf of p and q?
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If P and q are natural numbers and p is the multiple of q then what is...
Explanation:
Relationship between p and q:
- If p is a multiple of q, it means that p can be expressed as p = nq, where n is a natural number.
HCF of p and q:
- The highest common factor (HCF) of two numbers is the largest positive integer that divides both numbers without leaving a remainder.
- In this case, since p is a multiple of q, the HCF of p and q would be q.
- This is because q is a factor of p (since p = nq), and it is the largest factor that both p and q have in common.
Example:
- Let's take an example where p = 20 and q = 5. Here, p is a multiple of q because 20 = 4*5.
- The HCF of 20 and 5 is 5, which is the value of q.
Conclusion:
- In conclusion, if p is a multiple of q, then the HCF of p and q is q. This is because q is the largest common factor that divides both p and q without leaving a remainder.
Relationship between p and q:
- If p is a multiple of q, it means that p can be expressed as p = nq, where n is a natural number.
HCF of p and q:
- The highest common factor (HCF) of two numbers is the largest positive integer that divides both numbers without leaving a remainder.
- In this case, since p is a multiple of q, the HCF of p and q would be q.
- This is because q is a factor of p (since p = nq), and it is the largest factor that both p and q have in common.
Example:
- Let's take an example where p = 20 and q = 5. Here, p is a multiple of q because 20 = 4*5.
- The HCF of 20 and 5 is 5, which is the value of q.
Conclusion:
- In conclusion, if p is a multiple of q, then the HCF of p and q is q. This is because q is the largest common factor that divides both p and q without leaving a remainder.
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If P and q are natural numbers and p is the multiple of q then what is the hcf of p and q?
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If P and q are natural numbers and p is the multiple of q then what is the hcf of p and q? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about If P and q are natural numbers and p is the multiple of q then what is the hcf of p and q? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If P and q are natural numbers and p is the multiple of q then what is the hcf of p and q?.
If P and q are natural numbers and p is the multiple of q then what is the hcf of p and q? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about If P and q are natural numbers and p is the multiple of q then what is the hcf of p and q? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If P and q are natural numbers and p is the multiple of q then what is the hcf of p and q?.
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