1. Algorithms and programming: simple gcd part-A - Data Structures and Algorithms in Python
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1. Algorithms and programming: simple gcd part-A

1. Algorithms and programming: simple gcd part-A

The chapter introduces algorithms and programming with a focus on defining algorithms systematically to perform computational tasks. It emphasizes the concept of the greatest common divisor (gcd) through a practical algorithmic approach, demonstrating how to write a Python program to compute the gcd. Furthermore, it highlights the importance of understanding factors and common divisors in a structured manner.

15 sections

Sections

Navigate through the learning materials and practice exercises.

  1. 1
    Algorithms And Programming: Simple Gcd

    This section introduces algorithms, focusing on the concept of the greatest...

  2. 1.1
    Definition Of Algorithm

    This section defines algorithms as systematic procedures to perform tasks,...

  3. 1.2
    Altering Instructions Based On Context

    This section discusses how instructions can be modified according to the...

  4. 1.3
    Types Of Algorithms

    This section introduces algorithms as systematic procedures for solving...

  5. 1.4
    Common Everyday Computation

    This section introduces algorithms and their significance in programming,...

  6. 1.5
    Manipulating Information

    This section introduces the concept of algorithms in programming,...

  7. 2
    Greatest Common Divisor (Gcd)

    This section discusses the concept of the Greatest Common Divisor (gcd) of...

  8. 2.1
    Definition And Example Of Gcd

    This section discusses the concept of the greatest common divisor (gcd),...

  9. 2.2
    Computing The Gcd Of Two Numbers

    This section explains the concept of the greatest common divisor (gcd) and...

  10. 2.3
    Algorithm To Compute Gcd

    This section introduces the concept of an algorithm for computing the...

  11. 2.4
    Constructing The Lists Of Factors

    This section covers how to construct lists of factors for two positive...

  12. 2.5
    Finding Common Factors

    This section discusses the concept of algorithms for finding common factors,...

  13. 2.6
    Returning The Result

    This section discusses the concept of algorithms, particularly focusing on...

  14. 2.7
    Python Implementation Of Gcd

    This section covers the concept of the greatest common divisor (gcd) and its...

  15. 2.8
    Tracking Intermediate Values

    This section discusses the importance of tracking intermediate values in...

What we have learnt

  • An algorithm can be viewed as a sequence of steps to perform a task, similar to a recipe.
  • The greatest common divisor (gcd) is defined as the largest number that divides two integers without leaving a remainder.
  • Programming is the method of writing an algorithm in a programming language to automate and execute tasks.

Key Concepts

-- Algorithm
A systematic procedure for solving a problem or performing a task, consisting of a sequence of steps.
-- Greatest Common Divisor (gcd)
The largest positive integer that divides two numbers without leaving a remainder.
-- Factors
Numbers that divide a given number exactly without a remainder.
-- Python Lists
A collection used to store multiple items in a single variable, which can be modified.

Additional Learning Materials

Supplementary resources to enhance your learning experience.