My Math Forum  

Go Back   My Math Forum > High School Math Forum > Elementary Math

Elementary Math Fractions, Percentages, Word Problems, Equations, Inequations, Factorization, Expansion

Thanks Tree1Thanks
  • 1 Post By Azzajazz
LinkBack Thread Tools Display Modes
November 30th, 2015, 07:47 AM   #1
Senior Member
shunya's Avatar
Joined: Oct 2013
From: Far far away

Posts: 429
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 a|b

B) LCM(a,b) = a
My answer: B is true iff b|a
(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.
shunya is offline  
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.
Thanks from shunya
Azzajazz is offline  

  My Math Forum > High School Math Forum > Elementary Math

conditions, state

Thread Tools
Display Modes

Similar Threads
Thread Thread Starter Forum Replies Last Post
Given conditions, prove the following mared Algebra 3 August 26th, 2014 01:23 PM
Exponents - conditions arnold Number Theory 8 September 20th, 2011 10:40 AM
Expected number of steps to go from state i to state j zeroman89 Advanced Statistics 3 October 7th, 2010 02:35 PM
Field Conditions NightBlues Advanced Statistics 1 September 7th, 2010 01:11 PM
conditions without if statements metaphist Algebra 3 April 3rd, 2010 04:53 AM

Copyright © 2019 My Math Forum. All rights reserved.