How to find HCF Quickly with the help of given options

Duration: 6 min

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Inside: a video lesson and guided study material.

Module outline

  1. Quantitative Aptitude: Number System, Percentage, Profit and Loss, Ratio and Proportion (Ratios), Average, Time and Work, Speed Time and Distance, Simple Interest and Compound Interest, Mixture and Alligation, Data Interpretation, Permutation and Combination, Probability, Logarithm, Powers and Exponents (Surds and Indices), Age Problems, Divisibility Rules, Partnership, HCF LCM, Algebra, Pipe and Cistern
  2. Logical Reasoning: Series (Number and Letter Series) (Numerical Relations and Reasoning), Analogy, Coding Decoding, Blood Relations, Directions (Direction Test), Syllogisms, Logical Sequence Of Words, Data Sufficiency, Seating Arrangements, Puzzle Solving (Puzzles), Calendar, Clock, Cubes & Dices, Deductive and Inductive Reasoning (Logical Deduction and Induction) (Prepositional Reasoning), Data Arrangement
  3. English Language: Comprehension / Reading Comprehension / Unseen Passages (Critical Reasoning) (Paragraph Questions), Sentence Correction (Error Correction), Sentence Completion (Fill in the blanks), Vocabulary, Sentence Re-arrangements (Para Jumbles) (Narrative Sequencing), Active Passive Voice (Voice), Direct and Indirect Speech, Cloze Test (Cloze Passage), Tenses, Subject Verb Agreement (Verb Noun Agreement), Preposition, Articles, Conjunction, Adverb
  4. Written English Test: English Writing Ability
  5. Coding: Coding Questions by Yash Sir, C Programming by Yash Sir, Programming in C++, Java, Python for Placements by Yash Sir
  6. Communication Round: Communication Assessment
  7. DBMS (Technical Interview): Basics of DBMS, ER Diagram, Relational Model & Functional Dependencies, Keys & Integrity Constraints, Normalization (1NF - BCNF), Decomposition Properties & 4NF, File Organization & Indexing, Relational Algebra, Relational Calculus, Transaction Management, Concurrency Control, Database Recovery, ORDBMS, Database Security & Authorization, Query Processing & Optimization, Enhanced Data Models, Big Data Systems, NoSQL, Data Warehousing & Mining
  8. SQL (Technical Interview): SQL
  9. Operating Systems (Technical Interview): Introduction to OS, Process Management, CPU Scheduling, Process Synchronization, Deadlock, Threads & Process Creation, Memory Management, Virtual Memory, Disc Scheduling, File Management, Windows OS, Linux OS, Security, Distributed Systems, Virtual Machines
  10. Computer Networks (Technical Interview): 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, Network Security, Mobile Technology, Cloud Computing and IoT, Cyber and Info Security
  11. OOPs (Technical Interview): Object Oriented Programming (OOPS)
  12. HR Interview: MR & HR Interview Preparation
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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