Question

Write an algorithm to find the HCF (Highest     Common     Factor) of
the two   numbers entered    by   a    user.    Transform   your   algorithm   into a C
program, support your program with suitable comments.

 

13 Sep 2024
Answer :
Word Count : 983

### Algorithm to Find the HCF (Highest Common Factor)

The Highest Common Factor (HCF) of two numbers is the largest number that divides both of them without leaving a remainder. To find the HCF of two numbers, we can use the Euclidean algorithm, which is based on the principle that the HCF of two numbers also divides their difference.

#### Steps of the Algorithm:

1. Start: Accept two positive integers, say `a` and `b`.
2. Check for Zero: If either of the numbers is zero, return the other number as the HCF.
3. Apply Euclidean Algorithm:
    - Divide the larger number by the smaller one and get the remainder.
    - Replace the larger number with the smaller number, and the smaller number with the remainder from the division.
    - Repeat this process until the remainder is zero.
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