Re: tell me if this is right.

From: slag (rob_at_robfindlay.org)
Date: 07/15/04


Date: 15 Jul 2004 07:42:55 -0700


LarryLard wrote:
> "slag" <rob@robfindlay.org> wrote in message
news:<cd4hrf$8j7@odak26.prod.google.com>...
> [snip]
> > (V) Add and and reduce.
> >
> > = 13,142/15,048
> >
> >
> > Now to reduce i've applied the Euclidean algorithm
>
> Before explicitly finding the GCD, it's worth checking if you can see
> any common factors 'by inspection' (ie, by looking :)). Here it's
easy
> to see that numerator and denominator share a common factor of 2
> (since they are both even), so we can immediately say
>
> 13142/15048 = 6571/7524

Yeah i've forgotten those tricks. Any number ending in an even number
or zero is even and therefore divisable by 2 and in the case of 5 or 0
divisable by 5.

> which gives us a head start in the Euclidean GCD algorithm.
Obviously,
> common factors of 2 and 5 are the easiest to see by inspection; there
> are 'quick' methods for spotting divisibility by 3, 9, and 11 as well
> (and others maybe)

What are the tricks for 3, 9, 11 ?

> Has anyone suggested newsgroup alt.algebra.help to you? You will find
> less 'noise' than sci.math there.

I'll give it a look see tkns!
> --
> Larry Lard
> Replies to group please.

Rob Findlay



Relevant Pages

  • Re: GCD(0,0)
    ... >>>You're justifying an exception to the name GCD by pointing out that 0 ... >>>my point of view the G in GCD says it all. ... But the definition that works in a PID ... Euclidean algorithm, which means that it has a size function ...
    (sci.math)
  • Re: euclidean algorithm over Q[i]
    ... apart from the final value for the gcd. ... Are you using the Euclidean algorithm to compute ... GCD's of univariate polynomials over Q? ... advantage to using 'pseudo division' to avoid large ...
    (sci.math.symbolic)
  • Re: how to rotate an array
    ... You can easily find the explanation of Euclidean algorithm on the Internet. ... gcd of original a,b values. ... > loops through the number of elements in the series, ...
    (comp.lang.cpp)
  • Re: x^2 - Ay^2 =1
    ... a lot for all the method gcd. ... and even insisted about X being odd etc...) ... The real condition for the 'gcd' method to be worth being tried is ... X+1 being the double of a square, for which property P is false, ...
    (sci.math)
  • Re: tell me if this is right.
    ... > Now to reduce i've applied the Euclidean algorithm ... Before explicitly finding the GCD, it's worth checking if you can see ... any common factors 'by inspection' ...
    (sci.math)