Vedic Mathematics Techniques for Finding HCF

Vedic Maths Trick to find the HCF of Algebraic Expressions

To appreciate the Vedic Maths process of finding the HCF you first need to know the other methods taught in school. I am giving you two other methods to compare with.

Example 1: Find the H.C.F. of x^2 + 5x + 4 and x^2 + 7x + 6.

1. Factorization method:
x^2 + 5x + 4 = (x + 4) (x + 1)
x^2 + 7x + 6 = (x + 6) (x + 1)
H.C.F. is ( x + 1 ).
2. Continuous division process.
x^2 + 5x + 4 ) x^2 + 7x + 6 ( 1
x^2 + 5x + 4
___________
2x + 2 ) x^2 + 5x + 4 ( ½x
x^2 + x
__________
4x + 4 ) 2x + 2 ( ½
2x + 2
______
0
Thus 4x + 4 i.e., ( x + 1 ) is H.C.F.

Example 1: Find the H.C.F. of x^2 + 5x + 4 and x^2 + 7x + 6.

1. Factorization method:x^2 + 5x + 4 = (x + 4) (x + 1)

x^2 + 7x + 6 = (x + 6) (x + 1)

H.C.F. is ( x + 1 ).

2. Continuous division process.

x^2 + 5x + 4 ) x^2 + 7x + 6 ( 1

x^2 + 5x + 4___________2x + 2 ) x^2 + 5x + 4 ( ½x

x^2 + x__________4x + 4 ) 2x + 2 ( ½2x + 2______0
Thus 4x + 4 i.e., ( x + 1 ) is H.C.F.

Now see Vedic Maths way of finding HCF of 2 algebraic expressions.

Vedic Method for finding HCF

i.e. x+1 is the HCF

Isn’t it much simpler than the above 2 methods.

Now see some more examples -

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