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Anandi is trying to find the highest common factor of   and   using Euclid's Division Algorithm  .In her   step, she gets a divisor of  .

Question

Anandi is trying to find the highest common factor of  a  and  b using Euclid's Division Algorithm  . In her  n  step, she gets a divisor of  d.

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Solution

To solve the problem of finding the Highest Common Factor (HCF) using Euclid's Division Algorithm, let's outline the process. However, it seems there are some missing numeric values in your question. I will provide a general step-by-step guide on how to apply Euclid's algorithm, including resolving the steps with hypothetical values for A and B, as you haven't provided them.

1. ### Break Down the Problem

1.1 Identify the given two numbers, denote them as A and B.
1.2 Determine the divisor obtained in step one of the algorithm.
1.3 Apply Euclid's Division Algorithm.

2. ### Relevant Concepts

Euclid's Division Algorithm states that for any two integers A and B (where A > B), the HCF can be found as follows:

HCF(A,B)=HCF(B,AmodB) HCF(A, B) = HCF(B, A \mod B)

This process repeats until B becomes 0, at which point A will be the HCF.

3. ### Analysis and Detail

3.1 First Step: Divide A by B, write the quotient Q1 and remainder R1.

A=BQ1+R1 A = B \cdot Q1 + R1

3.2 Second Step: Then use B to divide R1, yielding another quotient Q2 and remainder R2:

B=R1Q2+R2 B = R1 \cdot Q2 + R2

3.3 Continue this process until the remainder is zero. The last non-zero remainder is your HCF.

4. ### Verify and Summarize

When the process ends with a remainder of zero, the last non-zero remainder calculated is indeed the HCF of A and B. This procedure efficiently finds the HCF through systematic division.

Final Answer

Once you provide the specific numbers for A and B and the divisor from her step, I can detail the calculations, but using the above method will allow anyone to compute the HCF for any set of two numbers.

This problem has been solved

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