The authors have developed a reduction technique for linear time-invariant system and the developed technique is a combination of Factor Division method and Routh Approximation method. The coefficients of denominator and numerator have been obtained by Routh approximation technique and Factor divided method respectively. The stable reduced order model is obtained with the use of advantages of the developed technique. A real-time model of the system is scaled down to explain the developed scheme while retaining the impotent characteristics of the original model. The provided strategies have been tested on two common mathematical examples obtained from the literature to assess its effectiveness, correctness, and comparison with the conventional model order reduction methods which are currently in use.