##### Real Numbers – Notes

**Real Numbers- Euclid’s Division Lemma**

** **Euclid’s division lemma states that for any two positive integers ‘a’ and ‘b’ we can find two whole numbers ‘*q*’ and ‘*r*’ such that: *a= bq + r*, where 0< *r < b*.

Euclid’s division lemma can be used to find the highest common factor of any two positive integers.

Euclid’s division lemma can be used to show common properties of numbers.

**Real Numbers- Fundamental Theorem of Arithmetic**

** **Fundamental Theorem of Arithmetic states that every composite number can be expressed or factorised as a product of prime numbers and this factorisation is unique except in the order of the prime factors.

HCF of two numbers = The products of Terms containing smallest powers of common Prime Factors of the two numbers.

Reviewer

ShikshaHouse

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Reviewed Item

CBSE Class 10th Maths 1 - Real Numbers - Notes

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