HCF and LCM for ibps po clerk exams
Factor and multiple : If a number A divides B then we say A is the factor of B.In this case B is the multiple of A.
It stands for highest common factor.Suppose we have two numbers 15 and 45. For both the number H.C.F is 15.It means 15 is a factor of both the numbers and it is maximum.
Method to find H.C.F-
There are two methods to find H.C.F.
1.Factorisation method :
In this method we express each number as the product of prime factors.The product of least power common prime factor gives H.C.F.
Ex- Find H.C.F of 45,15,90
Common prime factors are 3 and 5.
It stands for lowest common multiple.If we have 6,2,18 numbers, the lowest common multiple is 18.It means 6,2,18 is multiple of 18.
There are two methods for finding L.C.M
We express each number in the form of powers of prime factor and the product of prime factors with it’s highest power is L.C.M
Ex- Find L.C.M of 15,45,90
Here prime factors are 2,3,5
Important Formulae of hcf and lcm
- Productof two numbers=Product of their H.C.F and L.C.M
- Two numbers are said to be coprimes if their H.C.F is 1.
- H.C.F of fraction:-
- L.C.M of fraction:-
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