HCF and LCM: Factors and Multiples | Fundamental Theorem of Arithmetic, by Deepak Aggarwal

In the video, Deepak Sir explains the concepts of HCF and LCM, and demonstrates how to calculate them for a given set of numbers. He even provides methods for calculating HCF and LCM of a set of fractions and decimal numbers.

Factors and Multiples: A number A that divides another number B exactly is called a factor of B and B is called a multiple of A.
Example.
(i) Each one of 1, 2, 3, 4, 6 and 12 is a factor of 12.
(ii) 3, 6, 9, 12, ... are all multiples of 3.
Note: 0 is a multiple of every number except 0 itself.

Fundamental Theorem of Arithmetic (or the Unique Factorization Theorem): Every integer greater than 1 can be uniquely expressed as a product of prime numbers except for the order in which these prime factors occur.

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