Open App

CAT Exam > CAT Videos > Quantitative Aptitude (Quant) > Number System: HCF & LCM

Number System: HCF & LCM Video Lecture | Quantitative Aptitude (Quant) - CAT

FAQs on Number System: HCF & LCM Video Lecture - Quantitative Aptitude (Quant) - CAT

1. What is the difference between HCF and LCM?

Ans. HCF (Highest Common Factor) is the largest number that divides two or more numbers without leaving a remainder, while LCM (Least Common Multiple) is the smallest number that is a multiple of two or more numbers. HCF focuses on common divisors, whereas LCM focuses on common multiples.

2. How can I calculate the HCF of two numbers?

Ans. To calculate the HCF of two numbers, you can use the prime factorization method, where you factor both numbers into their prime components and multiply the lowest powers of all common prime factors. Alternatively, you can use the Euclidean algorithm, which involves repeated division until the remainder is zero.

3. What is the relationship between HCF and LCM?

Ans. The relationship between HCF and LCM of two numbers can be expressed using the formula: HCF × LCM = Product of the two numbers. This means that if you know either the HCF or LCM and the product of the two numbers, you can easily find the other.

4. How do I find the LCM of multiple numbers?

Ans. To find the LCM of multiple numbers, you can use the prime factorization method by finding the prime factors of each number and taking the highest power of each prime factor. Alternatively, you can calculate the LCM of two numbers at a time using the relationship between HCF and LCM until all numbers are included.

5. Are there any shortcuts for calculating HCF and LCM in competitive exams?

Ans. Yes, there are several shortcuts for calculating HCF and LCM in competitive exams. For example, for HCF, you can use the division method for smaller numbers or apply the Euclidean algorithm. For LCM, using the formula LCM(a, b) = (a × b) / HCF(a, b) can save time, especially when dealing with larger numbers.

About this Video

1.7K Views

4.71/5 Rating

Sep 04, 2025 Last updated

Related Exams

CAT MAT Quant

Video Description: Number System: HCF & LCM for CAT 2025 is part of Quantitative Aptitude (Quant) preparation. The notes and questions for Number System: HCF & LCM have been prepared according to the CAT exam syllabus. Information about Number System: HCF & LCM covers all important topics for CAT 2025 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for Number System: HCF & LCM.

Introduction of Number System: HCF & LCM in English is available as part of our Quantitative Aptitude (Quant) for CAT & Number System: HCF & LCM in Hindi for Quantitative Aptitude (Quant) course. Download more important topics related with notes, lectures and mock test series for CAT Exam by signing up for free.

Description

Video Lecture & Questions for Number System: HCF & LCM Video Lecture | Quantitative Aptitude (Quant) - CAT - CAT full syllabus preparation | Free video for CAT exam to prepare for Quantitative Aptitude (Quant).

Information about Number System: HCF & LCM

Here you can find the meaning of Number System: HCF & LCM defined & explained in the simplest way possible. Besides explaining types of Number System: HCF & LCM theory, EduRev gives you an ample number of questions to practice Number System: HCF & LCM tests, examples and also practice CAT tests.

	Quantitative Aptitude (Quant) 191 videos\|207 docs\|103 tests

Quantitative Aptitude (Quant)

191 videos|207 docs|103 tests

Join Course for Free

Explore Courses for CAT exam

pdf

Previous Year Questions with Solutions

Semester Notes

practice quizzes

Sample Paper

Extra Questions

ppt

Number System: HCF & LCM Video Lecture | Quantitative Aptitude (Quant) - CAT

video lectures

shortcuts and tricks

study material

past year papers

mock tests for examination

Exam

Number System: HCF & LCM Video Lecture | Quantitative Aptitude (Quant) - CAT

Free

Important questions

Objective type Questions

MCQs

Viva Questions

Summary

;

Study Number System: HCF & LCM on the App

Students of CAT can study Number System: HCF & LCM alongwith tests & analysis from the EduRev app, which will help them while preparing for their exam. Apart from the Number System: HCF & LCM, students can also utilize the EduRev App for other study materials such as previous year question papers, syllabus, important questions, etc. The EduRev App will make your learning easier as you can access it from anywhere you want. The content of Number System: HCF & LCM is prepared as per the latest CAT syllabus.

Education Revolution