
Elementary Math Fractions, Percentages, Word Problems, Equations, Inequations, Factorization, Expansion 
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November 30th, 2015, 07:47 AM  #1 
Senior Member Joined: Oct 2013 From: Far far away Posts: 422 Thanks: 18  state the conditions
Let a and b represent whole numbers. State the conditions on a and b that make the following statements true. A) GCF(a,b) = a My answer: A is true iff ab B) LCM(a,b) = a My answer: B is true iff ba (A and B seem to be complementary) C) GCF(a,b) = a * b My answer: C is true iff a = b = 1. Otherwise C is impossible D) LCM(a,b) = a * b My answer: D is true iff GCF(a,b) = 1 i.e. if a and b are relatively prime. Am I correct? Can you give me a better insight regarding this question. Thanks. 
November 30th, 2015, 02:08 PM  #2 
Math Team Joined: Nov 2014 From: Australia Posts: 689 Thanks: 244 
Does the original question say $a$ and $b$ are positive? If they're allowed to be negative, there may be some tweaking to do. For positive integers, you are spot on. 

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