JOURNAL OF NUMBER THEORY 21, 101-l 19 (1985) The Greatest Common Divisor of Certain Sets of Binomial Coefficients H. JORIS Institut de Mathe’matiques, UniversitP de Lausanne. Co&e PropPdeutique, lOIS Lausanne-Dorigny, Switzerland AND C. OESTREICHER AND J. STEINIG Section de MathtSmatiques, Universitk de Gekve. 2-4 rue du Litivre, 1211 Geneve 24, Switzerland Communicated hy P. Erdiis Received July 13, 1983 A formula is obtained for the greatest common divisor of any number of con- secutive terms in any given row of Pascal’s triangle. ‘I*’ 1985 Academic Press, Inc. 1. INTRODUCTION Consider the Pascal triangle, written as an infinite lower triangular matrix 0 (;t> (‘I)(l) ... (:> ‘.’(:> ... (I) 101 0022-314X/85 $3.00 Copyright 0 1985 by Academic Press, Inc. All rights or reproduction in any form reserved. brought to you by CORE View metadata, citation and similar papers at core.ac.uk provided by Elsevier - Publisher Connector