Greatest Common Factor and Least Common Multiple

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Charles E. Lamb Charles Lamb is an associate professor of curriculum and instruction at the University of Texasat Austin, TX 78712

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Lyndal R. Hutcherson Lyndal R. Hutcherson is responsible for mathematics curriculum development and implementation as well as extensive in-service work in mathematics and the use of microcomputers in Carrollton-Farmers Branch I.S.D., Carrollton, TX 75006.

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The greatest common factor and the least common multiple are two concepts that are important in their own right as well as crucial to the development of other topics in mathematics. Unfortunately, these two topics can be difficult for students to understand even apart from the process of computing numerical values for them. This article discusses some strategies for avoiding misconceptions of these ideas and reviews some computational algorithms for them.

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Charles E. Lamb works with preservice and in-service teachers of mathematics.

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