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If A=2n 13 and B=n 7 where n is a natural number , then find HCF of A and B?
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If A=2n 13 and B=n 7 where n is a natural number , then find HCF of A ...
Finding the HCF of A and B


Step 1: Simplify the expressions

To find the HCF of A and B, we need to simplify the expressions first. Let's simplify A and B by factoring out the common factor.

A = 2n + 13 = 2(n + 6) + 1
B = n + 7

Step 2: Find the factors

Now, let's find the factors of A and B.

Factors of A: 1, 2, 3, 6, n + 7, 2(n + 6) + 1
Factors of B: 1, n + 7

Step 3: Find the common factors

To find the HCF, we need to find the common factors of A and B.

Common factors: 1, n + 7

Step 4: Find the highest common factor

The highest common factor (HCF) is the greatest common factor that divides both A and B without leaving a remainder. In this case, the HCF of A and B is (n + 7).

Therefore, the HCF of A and B is (n + 7).
Community Answer
If A=2n 13 and B=n 7 where n is a natural number , then find HCF of A ...
Given A = 2n + 13 and B = n + 7 and since n is a natural number A > B. Since A/B is not an integer we can conclude that A and B cannot have any integer in common. Therefore HCF of A and B is 1.
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If A=2n 13 and B=n 7 where n is a natural number , then find HCF of A and B?
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