- #1
- 35
- 0
Homework Statement
Find all pairs of integers a, b such that their GCD and LCM are 14 and 168 respectively.
Homework Equations
a x b = gcd(a,b) x lcm(a,b) (useful?)
The Attempt at a Solution
confused...
Maybe, maybe not. What does it tell you?a x b = gcd(a,b) x lcm(a,b) (useful?)
That looks correct. Is it useful?a x b = 2352...
You don't know how to find all of the solutions to a x b = 2352?it's somewhat useful, gives me one more piece of information, but i can't see the way to solve it....
Ah. So you do know how to solve the problem, you're just fishing for other methods.i can find pairs, but some of them would be incorrect ex. a = 1 and b = 2352. i was wondering if there would be a better way or shortcut without having to go through all the pairs.
Er, what is there to explain? You know how to find all the solutions to a x b = 2352, so now we're just imposing some of the information from the original problem to streamline our work.wait a dividing lcm(a, b)?
can you explain more?
I thought that's what I was doing....could you lead me though it?
Hrm. I expected three answers. (But I could be wrong)so are the answers (14, 168) and (42, 56)?