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 –

Please follow and like us:

Vineet Patawari

Hi, I'm Vineet Patawari. I fell in love with numbers after being scared of them for quite some time. Now, I'm here to make you feel comfortable with numbers and help you get rid of Math Phobia!

6 thoughts to “Vedic Mathematics Techniques for Finding HCF”

  1. In example no. 2 . -1) 2x + 3 . If we take -1 is common factor from -2x + 3 we get 2x – 3 as a H.C.F. Please let me know am I correct or not . As I have solved the ex. by Factorization and Continuous Division Method . Please let me know the correct answer .

  2. this is in ref to Ex -2

    ______
    -1) -2x +3
    _______
    2x -3
    please see if what I’m trying to point out is correct !!

  3. I’ve just stumbled upon your site while searching for a tutorial on an related subject. Glad I did too. There’s a lot I like. Anyway, you’ve been bookmarked and I’ll be back soon. 🙂

Leave a Reply

Your email address will not be published. Required fields are marked *