Euclid’s division algorithm to find the HCF | Funndamental Theorem Of Arithmetic
Euclid’s Division Lemma : Given positive integers a and b, there exist unique integers q and r satisfying a = bq + r, 0 = r is less than b.
A lemma is a proven statement used for proving another statement.
Euclid’s division algorithm is a technique to compute the Highest Common Factor HCF of two given positive integers. Recall that the HCF of two positive integers a and b is the largest positive integer d that divides both a and b .
Euclid’s division algorithm
To find the HCF of two positive integers, say c and d, with c is greater than d, followthe steps below:
Step 1 : Apply Euclid’s division lemma, to c and d . So, we find whole numbers, q andr such that c = dq + r , 0 = r is less than d .
Step 2 : If r = 0, d is the HCF of c and d . If r not zero 0, apply the division lemma to d and r .
Step 3 : Continue the process till the remainder is zero. The divisor at this stage will be the required HCF.
This video demonstrates how to find HCF using Euclid’s division lemma or Euclid’s division algorithm.Statement of Euclid’s division algorithm and its appliction to solve word problems is illustratedin detail.Generalised results are proven by Euclid’s division algorithm.
CBSE solutions for class 10 maths Chapter 1 Real Numbers Exercise 1.4
CBSE class 10 maths NCERT Solutions Chapter 1 Real Numbers Exercise 1.2 | Euclid Division Lemma
CBSE class 10 maths NCERT Solutions Chapter 1 Real Numbers
Solutions for CBSE class 10 Maths Real Numbers
NCERT solutions for class 10 maths Real Numbers
NCERT solutions for CBSE class 10 maths Real Numbers Ex 1.1
CBSE class 10 maths Solutions Real Numbers Exercise 1.4
Common core Math Real Numbers
ICSE Class 10 Maths
Tagged under: ncert solutions,learncbse.,gyanpub,Euclid’ division,find HCF,Funndamental Theorem,Funndamental Theorem Of Arithmetic,division algorithm
Clip makes it super easy to turn any public video into a formative assessment activity in your classroom.
Add multiple choice quizzes, questions and browse hundreds of approved, video lesson ideas for Clip
Make YouTube one of your teaching aids - Works perfectly with lesson micro-teaching plans
1. Students enter a simple code
2. You play the video
3. The students comment
4. You review and reflect
* Whiteboard required for teacher-paced activities
With four apps, each designed around existing classroom activities, Spiral gives you the power to do formative assessment with anything you teach.
Carry out a quickfire formative assessment to see what the whole class is thinking
Create interactive presentations to spark creativity in class
Student teams can create and share collaborative presentations from linked devices
Turn any public video into a live chat with questions and quizzes