H.C.F and L.C.M – A Case Study of Completeness Property of Real Numbers

Manoj Kumar Srivastav

doi:https://doi.org/10.14445/22315373/IJMTT-V30P505

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 30 | Number 1 | Year 2016 | Article Id. IJMTT-V30P505 | DOI : https://doi.org/10.14445/22315373/IJMTT-V30P505

H.C.F and L.C.M – A Case Study of Completeness Property of Real Numbers

Manoj Kumar Srivastav

Citation :

Manoj Kumar Srivastav, "H.C.F and L.C.M – A Case Study of Completeness Property of Real Numbers," International Journal of Mathematics Trends and Technology (IJMTT), vol. 30, no. 1, pp. 30-33, 2016. Crossref, https://doi.org/10.14445/22315373/IJMTT-V30P505

Abstract

In the basic mathematics H.C.F and L.C.M are an important concept related to factors or multiples of numbers . The calculation of H.C.F or L.C.M mainly follows the factorization of given numbers into prime numbers. The largest common factor of two or more numbers is called the highest common factor (HCF). Lowest Common Multiple is the smallest positive number that is a multiple of two or more numbers. In the present paper it is tried to show that the whole theory follows the completeness property of real numbers.

Keywords

H.C.F, L.C.M, completeness, real numbers.

References

[1]https://www.quora.com/Is-the-greatest-common-factor-of-twonegative- numbers-a-negative
[2]http://www.cimt.plymouth.ac.uk/projects/mepres/book8/bk8i2/bk8_ 2i4.htm
[3]http://www.indiabix.com/aptitude/problems-on-hcf-andlcm/ formulas
[4]http://www.careerbless.com/aptitude/qa/numbers_imp.php
[5] S.K.Mapa, 1998 Real Analysis , Asoke Prakasan
[6] S.K.Mapa,2000 Higher Algebra, -Sarat Book Distribution
[7]Tom M. Apostal. 1997 Mathematical Analysis- Narosa Publishing House
[8] S.C.Malik, SavitaArora .2006 Mathematical Analysis ,New Age International(P) Limited Publishers
[9]P.K.Gupta, Sharda Gupta, 1993, Sultan Chand & Sons
[10]Math class V-West Bengal Prathamik Shiksha parishad,2012
[11]Math class VI-West Bengal Prathamik Shiksha parishad,2012
[12] Manoj Kumar Srivastav , Asoke Nath ,Mathematical modeling of various statements of C-type Language, International Journal of Advanced Computer Research(IJACR), Vol-3,Number-1, Issue-13,Page:79-87 Dec(2013)
[13] Manoj Kumar Srivastava, Asoke Nath, Mathematical Description of variables, pointers, structures, Unions used in C-type language, Journal of Global Research Computer Science,Vol-5, No-2, Page:24- 29,Feb(2014)
[14] Khoo Phon Sai ,Reflections on HCF and LCM: a variety of mathematical connections, Source Teaching and Learning, 13(1), 41- 50 Published by Institute of Education (Singapore)