Greatest Common Divisor/Least Common Multiple

Main post link -> https://brilliant.org/assessment/techniques-trainer/greatest-common-divisor-least-common-multiple/

Learn how to find the Greatest Common Divisor and Least Common Multiple of a set of integers.

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Math	Appears as
Remember to wrap math in `$` ... `$` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$

Comments

With a Great Difficulty I have got 3 stars in GCD/LCM just before the delivery of this blog !!!!

Vamsi Krishna Appili - 8 years ago

Great job!

Calvin Lin Staff - 8 years ago

Can you explain what WLOG stands for?

Justin Wong - 8 years ago

That stands for Without Loss Of Generality. It basically means that you're justified in imposing some new condition.

Morgan Dang - 8 years ago

Thanks.

Justin Wong - 8 years ago

in the worked example 3 gcd(ab)=1 can you explain it why?

Sreehari Vp - 8 years ago

Think about why this must be true. Let me put it in another way.

Given a fraction $\frac{a}{b}$ , what do we do to put it in lowest terms?

Calvin Lin Staff - 8 years ago

"put it in lowest terms" means what?

Sreehari Vp - 8 years ago

@Sreehari Vp – Put Numerator and Denominator to their Positive Coprime Integers

Vamsi Krishna Appili - 8 years ago

@Vamsi Krishna Appili – thanks.....

Sreehari Vp - 8 years ago

this description is very helpful......thanks......

Sreehari Vp - 8 years ago

Nice post Master to understanding the concept of GCD. I mean, this is including algorithm (Euclid) as one method to solve in computer science :))

Andrias Meisyal - 8 years ago

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$