Open App

Class 10 Exam > Class 10 Videos > Euclid's Division Lemma

Euclid's Division Lemma Video Lecture - Class 10

Q: 2. How is Euclid's Division Lemma useful in solving problems related to divisibility?

Ans. Euclid's Division Lemma provides a way to express any positive integer a as a multiple of another positive integer b, plus a remainder. This helps in determining if a number is divisible by another number and finding factors or divisors of a given number.

Q: 3. Can you provide an example to illustrate Euclid's Division Lemma?

Ans. Sure! Let's consider a = 17 and b = 5. According to Euclid's Division Lemma, we can write 17 = 5 * 3 + 2, where 3 is the quotient (q) and 2 is the remainder (r).

Q: 4. How can Euclid's Division Lemma be used to find the HCF (Highest Common Factor) of two numbers?

Ans. Euclid's Division Lemma can be used to find the HCF of two numbers by repeatedly applying the lemma. Starting with the two given numbers, we divide the larger number by the smaller number using the lemma. We continue this process with the divisor and the remainder until the remainder becomes zero. The divisor at this stage will be the HCF of the two numbers.

Q: 5. Are there any limitations to Euclid's Division Lemma?

Ans. Yes, Euclid's Division Lemma has certain limitations. It is applicable only for positive integers and cannot be extended to negative numbers or fractions. Additionally, it assumes that the divisor (b) is always positive.

Top Courses for Class 10

View all

FAQs on Euclid's Division Lemma Video Lecture - Class 10

1. What is Euclid's Division Lemma?

Ans. Euclid's Division Lemma states that for any positive integers a and b, there exist unique integers q and r, such that a = bq + r, where 0 ≤ r < b.

2. How is Euclid's Division Lemma useful in solving problems related to divisibility?

Ans. Euclid's Division Lemma provides a way to express any positive integer a as a multiple of another positive integer b, plus a remainder. This helps in determining if a number is divisible by another number and finding factors or divisors of a given number.

3. Can you provide an example to illustrate Euclid's Division Lemma?

Ans. Sure! Let's consider a = 17 and b = 5. According to Euclid's Division Lemma, we can write 17 = 5 * 3 + 2, where 3 is the quotient (q) and 2 is the remainder (r).

4. How can Euclid's Division Lemma be used to find the HCF (Highest Common Factor) of two numbers?

Ans. Euclid's Division Lemma can be used to find the HCF of two numbers by repeatedly applying the lemma. Starting with the two given numbers, we divide the larger number by the smaller number using the lemma. We continue this process with the divisor and the remainder until the remainder becomes zero. The divisor at this stage will be the HCF of the two numbers.

5. Are there any limitations to Euclid's Division Lemma?

Ans. Yes, Euclid's Division Lemma has certain limitations. It is applicable only for positive integers and cannot be extended to negative numbers or fractions. Additionally, it assumes that the divisor (b) is always positive.

Related Exams

Class 10

About this Video

	4.87/5 Rating
	Nov 16, 2024 Last updated

Euclid's Division Lemma for Class 102024 is part of Class 10 preparation. The notes and questions for Euclid's Division Lemma have been prepared according to the Class 10 exam syllabus. Information about Euclid's Division Lemma covers all important topics for Class 102024 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for Euclid's Division Lemma.

Introduction of Euclid's Division Lemma in English is available as part of our Class 10 preparation & Euclid's Division Lemma in Hindi for Class 10 courses. Download more important topics, notes, lectures and mock test series for Class 10 Exam by signing up for free.

Description

Video Lecture & Questions for Euclid's Division Lemma Video Lecture - Class 10 - Class 10 full syllabus preparation | Free video for Class 10 exam.

Information about Euclid's Division Lemma

Here you can find the Euclid's Division Lemma defined & explained in the simplest way possible. Besides explaining types of Euclid's Division Lemma theory, EduRev gives you an ample number of questions to practice Euclid's Division Lemma tests, examples and also practice Class 10 tests.

Explore Courses for Class 10 exam

Signup for Free!

Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.

Start learning for Free

10M+ students study on EduRev

past year papers

Semester Notes

Extra Questions

shortcuts and tricks

study material

Summary

practice quizzes

video lectures

Free

Viva Questions

MCQs

mock tests for examination

Exam

Objective type Questions

Sample Paper

ppt

Euclid's Division Lemma Video Lecture - Class 10

Important questions

Euclid's Division Lemma Video Lecture - Class 10

pdf

Previous Year Questions with Solutions

;

Study Euclid's Division Lemma on the App

Students of Class 10 can study Euclid's Division Lemma alongwith tests & analysis from the EduRev app, which will help them while preparing for their exam. Apart from the Euclid's Division Lemma, 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 Euclid's Division Lemma is prepared as per the latest Class 10 syllabus.

Education Revolution