Finding HCF of expressions using Vedic Mathematics
Highest Common Factor (HCF) as the name suggests it is the highest common factor present between 2 or more expressions or numbers For Example: HCF of 8 and 10 is 2. While that of 8 and 12 is 4 and so on. In this topic we are going to see the HCF of expressions. Calculation of HCF can be done in following ways:
- Adyamadyena Rule to find the factors of the expression and name the common factor/s as the HCF.
- Lopanasthapana Method by elimination and retention method or Sankalana-Vyavakalana Process which means addition and subtraction to eliminate and retain the highest power of dependent term.
We will be using 2nd way.
Find HCF of x2 + 7x + 6 and x2 -5x -6
So HCF = x+1
Find HCF of 4x3 + 13x2 + 19x + 4 and 2x3 + 5x2 + 5x -4
While subtraction we multiplied eq 2 by 2 and done subtracted from eq1 for elimination x3 term.
So HCF = x2+ 3x + 4
Find HCF of x4+ x3 -5x2– 3x+2 and x4-3x3+x2+3x-2
So HCF = x2-x-2