In this series of posts related to Factors & Mutliples, we have tried our best to highlight simple ways of dealing with this important concept in Numbers.

We also demonstrated a simple way of looking at HCF and LCM and methods to compute them. We followed this up by providing some important points about HCF and LCM, based on which good questions have been asked on the test.

In case you missed some of the posts, here are the links to see them,

https://gmatclub.com/forum/factors-multiples-a-simple-way-of-understanding-them-296311.htmlhttps://gmatclub.com/forum/factors-multiples-hcf-lcm-296385.htmlhttps://gmatclub.com/forum/factors-mutliples-methods-to-compute-hcf-lcm-important-points-296494.html#p2281312To top all of this off, in this last part today, we would like to summarise all that we have discussed till now and post a few good questions related to these topics.

A factor is a number that can divide another number completely. A factor is always smaller or at the most equal to the number.

A multiple is a number that can be divided by another number completely. A multiple is always equal or larger than the number.

On the GMAT, factors and multiples are defined for positive integers only.

1 is a factor of every number.

0 is a multiple of every number.

The HCF of a given set of numbers, is the largest factor that divides all the numbers in the set, commonly.

The LCM of a given set of numbers, is the smallest multiple of all the numbers in the set.

The LCM of a given set of numbers is always a multiple of their HCF.

For a set with distinct numbers, the LCM will always be bigger than their HCF.

For two numbers, LCM * HCF = Product of the numbers.

Here are a few questions on the topics of factors and multiples:

https://gmatclub.com/forum/if-x-and-y-are-positive-integers-and-x-y-3x-is-y-divisible-by-296575.htmlhttps://gmatclub.com/forum/if-a-b-and-c-are-positive-integers-and-a-is-a-multiple-of-296576.htmlhttps://gmatclub.com/forum/jean-billie-and-king-have-750-500-and-600-with-them-respectively-296577.htmlWith this, we conclude this series of posts on Factors & Mutliples. We hope that you have enjoyed these posts and found value in them. If you have, there is nothing more we could ask for as tutors. Although your finding value in these posts is the best feedback we could get, getting a Kudos will be even better

Thank You!

See you in our next post on another interesting topic in Quant.

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