How to find HCF Quickly with the help of given options

Duration: 6 min

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Module outline

  1. About Course: About the Course
  2. Paper 2 | Digital Logic: Digital Systems & Boolean Basics, Logic Gates & Hardware, Boolean Expression, Boolean Minimization, Combinational Circuit, Sequential Circuits, Number System, Number Representation, Floating Point Rep
  3. Paper 2 | Computer Organization And Architecture: Basics of COA, Cache Memory Organization, Input Output Organisation, Pipelining, Control Unit Design, Instr Formats & Modes, Programming the Basic Computer
  4. Paper 2 | Analog And Digital Communication: Introduction to Communication Systems & Random Signals, Analog Communication Systems, Information Theory & Digital Communication Fundamentals, Digital Modulation & Detection Techniques, Error Control, Synchronization & Multiple Access Techniques
  5. Paper 2 | Programming in C: C Fundamentals, Control Flow, Functions, Arrays & Pointers, Storage Classes, Structures & Enums, DMA, Macros, Scoping & File Handling
  6. Paper 2 | Data Structures And Programming: Introduction to DS, Array, Stack, Queue, Linked List, Tree, Graphs, Hashing, Java, OOPS with C++, Java Fundamentals, Array, String, IO & References
  7. Paper 2 | Algorithms: Algorithm Analysis, Sorting Algorithms, Time Complexity Analysis, Greedy Algorithms, Dynamic Programming, Minimum Spanning Trees, Shortest Path Algos
  8. Paper 2 | Compiler Design: Intro to Compilers, Lexical Analysis, Grammar & CFG, Syntax Analysis: Top-Down, Syntax Analysis: Bottom-Up, Semantic Analysis & SDT, Intermediate Code Gen, Code Optimization, Run Time Environment
  9. Paper 2 | Operating System: Introduction to OS, Process Management, CPU Scheduling, Process Synchronization, Threads & Process Creation, Deadlock, Memory Management, Virtual Memory, Disc Scheduling, File Management, Unix OS, Linux OS
  10. Paper 2 | Databases: Basics of DBMS, ER Diagram, Relational Model & Functional Dependencies, Keys & Integrity Constraints, Normalization (1NF - BCNF), Decomposition Properties & 4NF, Relational Algebra, SQL, Relational Calculus, File Organization & Indexing, Transaction Management, Concurrency Control
  11. Paper 2 | Information Systems and Software Engineering: Fundamentals of Software Engineering, Software Requirements and Quality Assurance, Software Design, Estimation and Metrics, Software Testing, Software Maintenance and Configuration Management
  12. Paper 2 | Computer Networks: Introduction to CN, Data Communication, DLL: Access Control, DLL: Flow Control, DLL: Error Control, DLL: Framing, Data Link Layer - Ethernet, Net Layer: IPv4 & Proto, Net Layer: IP Addressing, Net Layer:Routing Protocol, Transport Layer Services, TL: Congestion & UDP, Application Layer, Hardware Basics
  13. Paper 2 | Internet & Web Technologies: Website, Browser & Services, Internet Fundamentals, Web Design & Development, Protocols & Services, Web Publishing & Hosting, Server Side & Security, Emerging Technologies, HTML Basics, JavaScript-Basics, CSS, XML, HTML5
  14. Paper 2 | Cyber Security And Emerging Technologies: Emerging Tech Trends, Internet of Things
  15. Paper 2 | Cloud Technology: Cloud Computing
  16. Paper 2 | Probability and statistics: Probability, Statistics
  17. Paper-1 English: Vocabulary, Preposition, Articles, Comprehension / Reading Comprehension / Unseen Passages (Critical Reasoning) (Paragraph Questions), Sentence Re-arrangements (Para Jumbles) (Narrative Sequencing), Sentence Correction (Error Correction), Sentence Completion (Fill in the blanks), Cloze Test (Cloze Passage), Sentence Construction
  18. Paper 1 General Mental Ability & Logical reasoning: Ratio and Proportion (Ratios), Divisibility Rules, Data Interpretation, Mixture and Alligation, Permutation and Combination, Logarithm, Number System, HCF LCM, Sequence and Series (Series), Speed Time and Distance, Series (Number and Letter Series) (Numerical Relations and Reasoning), Coding Decoding, Data Sufficiency, Non Verbal Reasoning (Spatial Aptitude) (Spatial Reasoning) (Visual Reasoning), Percentage, Average, Powers and Exponents (Surds and Indices), Algebra, Profit and Loss, Simple Interest and Compound Interest, Time and Work, Pipe and Cistern, Mensuration and Geometry, Mental Ability, Age Problems, Partnership, Arithmetic, Speed Mathematics and Basic Mathematics, Syllogisms, Deductive and Inductive Reasoning (Logical Deduction and Induction) (Prepositional Reasoning), Seating Arrangements, Blood Relations, Directions (Direction Test), Analytical Reasoning (Counting Figures Reasoning), Puzzle Solving (Puzzles), Calendar, Clock, Cubes & Dices, Selection Decision Table (Decision Making), Logical Sequence Of Words, Venn Diagram, Analogy
  19. Paper-1 General Knowledge & Current Affairs: State Wise GK, History, Geography, GK- Current Affairs, Static General Knowledge
  20. Full Length Mock Test:
AI summary & chapters

AI Summary

An AI-generated summary of this video lecture.

This educational video is a lecture on finding the Highest Common Factor (HCF) using the method of prime factorization, presented by an instructor from Knowledge Gate Eduventures. The video begins with a title slide introducing the topic of LCM and HCF, followed by a section on 'HCF using Least Number'. The core of the lecture consists of two worked examples. The first example asks to find the HCF of 24, 60, 84, and 108. The instructor demonstrates the prime factorization method by dividing all numbers by the smallest common prime factor, 2, and continues the process with the resulting quotients until no common factors remain. The final HCF is calculated as the product of the common prime factors, which is 12. The second example involves finding the HCF of 108, 288, and 360. The instructor applies the same method, dividing by 2 and then by 3, and concludes that the HCF is 36. The video concludes with a 'Thanks for Watching' screen.

Chapters

  1. 0:00 – 2:00 00:00-02:00

    The video opens with a title slide featuring the text 'LCM & HCF' against a dark, digital-themed background. It then transitions to a presentation slide with a green chalkboard background, where the instructor, Yash Jain, introduces the topic 'HCF' and 'LCM' with a diagram showing the prime factorization method. The slide also displays the title '5. HCF using Least Number' and the 'Knowledge Gate Educa' logo. The instructor is visible in a small window in the bottom right corner, beginning to explain the concept.

  2. 2:00 – 5:00 02:00-05:00

    The video displays a question on a yellow background: 'Que: Find the HCF of 24, 60, 84, 108?'. The instructor begins the solution by writing the numbers and then divides them by the smallest common prime factor, 2, as shown by the equation '24/2 = 12'. He continues this process, dividing the resulting quotients by 2 again, and then by 3, as seen in the handwritten calculations. The final HCF is determined to be 12, which is circled as the correct answer (D) from the multiple-choice options.

  3. 5:00 – 6:23 05:00-06:23

    A new question appears: 'Que: Find the HCF of 108, 288, 360?'. The instructor applies the same prime factorization method, starting by dividing all numbers by 2, as shown by the calculation '108/2 = 54'. He continues the process, dividing by 2 again and then by 3, with the calculations '108/36 = 3' and '288/36 = 8' visible. The final HCF is identified as 36, which is marked as the correct answer (A). The video ends with a 'THANKS FOR WATCHING' screen.

The video provides a clear, step-by-step demonstration of the prime factorization method for finding the Highest Common Factor (HCF). It begins with an introduction to the topic and then presents two distinct problems. The first problem, finding the HCF of 24, 60, 84, and 108, is solved by systematically dividing all numbers by their common prime factors (2, 2, and 3), resulting in an HCF of 12. The second problem, for 108, 288, and 360, follows the same procedure, yielding an HCF of 36. The consistent use of visual annotations and a clear, methodical approach makes the concept accessible for students preparing for competitive exams.

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