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If a=2n 3 and b=n 7 where n is a natural number, find HCF of A and B?
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If a=2n 3 and b=n 7 where n is a natural number, find HCF of A and B?
Given:
A = 2n + 3
B = n + 7
n is a natural number.
To Find:
HCF of A and B.
Solution:
To find the HCF (Highest Common Factor) of A and B, we need to determine the largest common divisor of both A and B.
Step 1: Factorization of A and B
Let's start by factorizing A and B to determine their prime factors.
A = 2n + 3
= 2(n) + 3
= (2 × 1) × n + 3
= 2n + 3
B = n + 7
Step 2: Determining the Common Factors
To find the HCF, we need to identify the common factors between A and B.
The factors of A are: 1, 2, n, 2n + 3
The factors of B are: 1, n, 7, n + 7
Step 3: Identifying the HCF
The HCF is the largest common factor between A and B.
From the factors identified above, we can see that the common factors between A and B are 1 and n.
Thus, the HCF of A and B is n.
Final Answer:
The HCF of A and B is n.
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If a=2n 3 and b=n 7 where n is a natural number, find HCF of A and B?
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If a=2n 3 and b=n 7 where n is a natural number, find HCF of A and B? 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 a=2n 3 and b=n 7 where n is a natural number, find HCF of A and B? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If a=2n 3 and b=n 7 where n is a natural number, find HCF of A and B?.
If a=2n 3 and b=n 7 where n is a natural number, find HCF of A and B? 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 a=2n 3 and b=n 7 where n is a natural number, find HCF of A and B? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If a=2n 3 and b=n 7 where n is a natural number, find HCF of A and B?.
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