A Comparative Study of Vedic and Modern Method of Division Algorithm

Authors

  • Krishnapriya C. R. Department of Mathematics, Sree Krishna College, Guruvayur. Kerala Author
  • Sreeja V. N. Department of Mathematics, Sree Krishna College, Guruvayur. Kerala Author
  • Deepa V. G. Department of Mathematics, Sree Krishna College, Guruvayur. Kerala Author

DOI:

https://doi.org/10.31305/rrjiks.2025.v2.n1.008

Keywords:

Vedic mathematics, Division, Nikhilam, Paravartya Yojayet, Urdhva- Tiryakgbhyam, Long division

Abstract

The origin of Vedic Mathematics is still unknown, but it is believed to have developed in India around 5000 years ago. Atharva Veda, one of the four ancient Vedas, contains the idea of Vedic mathematics. But for centuries, these ideas were orally passed down through generations. In twentieth century, His Holiness, Jagadguru Sankaracharya Sri Bharati Krishna Tirthaji Maharaj rediscovered these ideas and arranged into systematic form and now it is known as Vedic mathematics. Vedic mathematics is a collection of sixteen sutras and thirteen sub-sutras. The methods used in Vedic mathematics gives strong mental calculation and fast problem-solving skill. But nowadays, we are using modern techniques to solves mathematical problems which are very systematic one. In this paper, we are discussing one of the core arithmetic operations- division and make comparison between division algorithm in Vedic mathematics and modern mathematics using three sutras Nikhilam, Paravartya Yojayet and Urdhva- Tiryakgbhyam and long division method. We also evaluate their efficiency, cognitive demand, and adaptability through detailed examples.

Author Biographies

  • Krishnapriya C. R., Department of Mathematics, Sree Krishna College, Guruvayur. Kerala

    Krishnapriya C. R. received her Bachelor of Science and Master of Science in Mathematics from St Mary’s College, Thrissur, Kerala, India. She qualified the Council of Scientific and Industrial Research (CSIR) examination in 2018. She is currently working as Assistant Professor in the Department of Mathematics at Sree Krishna College, Guruvayur, Kerala, India.

  • Sreeja V. N., Department of Mathematics, Sree Krishna College, Guruvayur. Kerala

    Sreeja V. N. received her Master degree and Ph.D. from Cochin University of Science and Technology, Kerala, India. She is currently working as Associate Professor in Sree Krishna College, Guruvayur, Kerala, India.

  • Deepa V. G., Department of Mathematics, Sree Krishna College, Guruvayur. Kerala

    Deepa V. G. received her Master Degree in Mathematics from University of Calicut, Kerala, India. She obtained her M. Phil. Degree from University of Kerala and Ph.D. Degree from Mahatma Gandhi University, Kerala, India. She is currently working as Assistant Professor at Department of Mathematics, Sree Krishna College, Guruvayur, Kerala, India.

References

Tirtha, S. B. K., & Agrawala, V. S. (1992). Vedic mathematics (Vol. 10). Motilal Banarsidass Publ.

Obermann, S. F., & Flynn, M. J. (2002). Division algorithms and implementations. IEEE Transactions on computers, 46(8), 833-854. DOI: https://doi.org/10.1109/12.609274

Kumar, A., & Joshith, V. P. (2024). Vedic mathematics for sustainable knowledge: a systematic literature review. International Journal of Comparative Education and Development, 26(3), 247-269. DOI: https://doi.org/10.1108/IJCED-04-2023-0032

Michaels, A. (2020). Mathematics and Vedic mathematics. In Science and Scientification in South Asia and Europe (pp. 57-68). Routledge India. DOI: https://doi.org/10.4324/9780429353215-5

Yadaw, V. K. (2020). Ancient vedic mathematics and its application. International Journal of Engineering, Science and Mathematics, 9(10), 62-67.

Rajesh, K. R. (2013). The essential of vedic mathematics. Rupa Publications.

Downloads

Published

2025-06-30

How to Cite

Krishnapriya, C. R., Sreeja, V. N., & Deepa, V. G. (2025). A Comparative Study of Vedic and Modern Method of Division Algorithm. Research Review Journal of Indian Knowledge Systems, 2(1), 45-52. https://doi.org/10.31305/rrjiks.2025.v2.n1.008