**Real Number Class 10 Maths, deals with various concepts which are as under:-**

- Euclid’s Division Algorithm – Concepts and Examples
- Euclid’s Division Lemma
- The Fundamental Theorem of Arithmetic
- Irrational Numbers
- Rational Numbers and Their Decimal Expansions

### Concept of Euclid’s Division Algorithm – Real Numbers Class 10

Euclid’s division Algorithm is a technique to compute the Highest Common Factor (HCF) of two given positive Integers.

### Euclid’s Division Algorithm Example

Find HCF of 12576 and 4052 using Euclid’s Division Algorithm?

### Euclid’s Division Lemma

For 2 positive integers a and b, there exist unique integers q and r, which satisfy

a = bq + r

0≤r<b.

### Finding HCF and LCM using Fundamental theorem of Arithmetic

### Finding largest no that divides 2 given numbers and leave particular remainder

### Finding whether a Rational Number have terminating decimal expansion without performing long division

### Placing equal number of books in a library rack using Euclid’s Division Algorithm

### Show positive odd integer being of Form 4q plus 1 and 4q plus 3

### Show positive even integer being of Form 2q and positive odd integer being 2q plus 1

### Real Numbers Class 10 – Square root of 2 is irrational