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Ok, for some reason these GCF/LCM, etc. problems get me... [#permalink]

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11 Apr 2007, 23:59

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Ok, for some reason these GCF/LCM, etc. problems get me... any help much appreciated. And if you have any tips I'm all ears...

If x and y are positive integers, what is the value of xy?
1. the greatest common factor of x and y is 10
2. the least common multiple of x and y is 180

Statement1: GCF is 10. There may me numerous numbers x and y having GCF 10. So INSUFF
Statement2 : LCM is 180, there may me more than one values of x and y . So INSUFF

Taking them together:
The product of the numbers = GCF * LCM = 1800, xy = 1800
Hence SUFF

Ok, for some reason these GCF/LCM, etc. problems get me... any help much appreciated. And if you have any tips I'm all ears...

If x and y are positive integers, what is the value of xy? 1. the greatest common factor of x and y is 10 2. the least common multiple of x and y is 180

A little late...but yeah..you've to remember this formula

Ok, for some reason these GCF/LCM, etc. problems get me... any help much appreciated. And if you have any tips I'm all ears...

If x and y are positive integers, what is the value of xy? 1. the greatest common factor of x and y is 10 2. the least common multiple of x and y is 180

A little late...but yeah..you've to remember this formula

LCM*GCF=product of numbers

Cool. Nice formula. It'll save me some precious time!

One thing tho, is this LCM(x,y)*GCF(x,y) = xy ALWAYS TRUE?

Ok, for some reason these GCF/LCM, etc. problems get me... any help much appreciated. And if you have any tips I'm all ears...

If x and y are positive integers, what is the value of xy? 1. the greatest common factor of x and y is 10 2. the least common multiple of x and y is 180

A little late...but yeah..you've to remember this formula

LCM*GCF=product of numbers

Cool. Nice formula. :) It'll save me some precious time!

One thing tho, is this LCM(x,y)*GCF(x,y) = xy ALWAYS TRUE?

if yes, then I'll be very happy in using it. :-D

It is always true...you go ahead without worrying in GMAT with it.

Just to add in a note, to check if a formula (or one that you derived works), you can always test it out with arbitary values you pluck out of the air.

For instance, I can try x = 20, y = 24. In this case, HCF of x and y is 4 and LCM = 120. So xy must be 120*4 = 480 (check 20*24 = 480)! Voila !!