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July 22, 2014

July 22, 2014

Posted by **Karen** on Tuesday, June 23, 2009 at 10:49am.

- math 156 -
**MathMate**, Tuesday, June 23, 2009 at 11:03amExample of application to fractions:

5/6+ 7/15

= 25/30 + 14/30 ..... (1)

= 39/30

= 13/10 .... (2)

= 1 3/10

(1) LCM of denominators 6 and 15 is 30

(2) To simplify a fraction to simplest terms, both numberator and denominator are divided by the GCF.

In order to find the GCF or the LCM, divisibility is needed to factorize the numbers.

However, divisibility is not required to find LCM or GCF if the extended Euclidean algorithm is used.

http://en.wikipedia.org/wiki/Extended_Euclidean_algorithm

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