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March 6th, 2016, 05:57 PM  #1 
Senior Member Joined: Feb 2016 From: seattle Posts: 377 Thanks: 10  anyone have "secrets" for finding lowest terms with huge numbers.
26676/12825

March 6th, 2016, 06:09 PM  #2 
Global Moderator Joined: Oct 2008 From: London, Ontario, Canada  The Forest City Posts: 7,958 Thanks: 1146 Math Focus: Elementary mathematics and beyond 
Divide both by 3. Divide both results by 171, which is found after dividing 4275 by 25. 26676/12825 = 52/25 
March 6th, 2016, 10:52 PM  #3 
Senior Member Joined: Feb 2016 From: seattle Posts: 377 Thanks: 10  
March 7th, 2016, 03:46 AM  #4  
Math Team Joined: Jul 2011 From: Texas Posts: 3,002 Thanks: 1587  Quote:
 
March 7th, 2016, 06:21 AM  #5  
Banned Camp Joined: Jun 2014 From: Earth Posts: 945 Thanks: 191  You don't state if you're doing this with a calculator or by hand. Quote:
(the result of dividing 26,676 by 3) just happened to be divisible by 171 (the result of 4,475 divided by 25). You lucked out. If GIjoefan were to be doing it by hand my way, then he/she would have the twodigit number 57, instead of 171, to divide into a dividend.  
March 7th, 2016, 06:35 AM  #6 
Math Team Joined: Apr 2010 Posts: 2,780 Thanks: 361 
After dividing the numerator and denominator by their gcd, the result is in lowest terms.

March 9th, 2016, 10:30 AM  #7 
Senior Member Joined: Feb 2016 From: seattle Posts: 377 Thanks: 10  
March 9th, 2016, 11:59 AM  #8 
Math Team Joined: Apr 2010 Posts: 2,780 Thanks: 361 
It's short for greatest common divisor.

March 9th, 2016, 01:56 PM  #9 
Senior Member Joined: Jul 2014 From: भारत Posts: 1,178 Thanks: 230  And many people call it HCF (Highest Common Factor). 
March 9th, 2016, 07:59 PM  #10 
Banned Camp Joined: Jun 2014 From: Earth Posts: 945 Thanks: 191 
And many people call it the GCF (greatest common factor).


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