Greatest Common Divisor/Least Common Multiple

Note by Calvin Lin
6 years, 6 months ago

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This discussion board is a place to discuss our Daily Challenges and the math and science related to those challenges. Explanations are more than just a solution — they should explain the steps and thinking strategies that you used to obtain the solution. Comments should further the discussion of math and science.

When posting on Brilliant:

  • Use the emojis to react to an explanation, whether you're congratulating a job well done , or just really confused .
  • Ask specific questions about the challenge or the steps in somebody's explanation. Well-posed questions can add a lot to the discussion, but posting "I don't understand!" doesn't help anyone.
  • Try to contribute something new to the discussion, whether it is an extension, generalization or other idea related to the challenge.
  • Stay on topic — we're all here to learn more about math and science, not to hear about your favorite get-rich-quick scheme or current world events.

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MathAppears as
Remember to wrap math in \( ... \) or \[ ... \] to ensure proper formatting.
2 \times 3 2×3 2 \times 3
2^{34} 234 2^{34}
a_{i-1} ai1 a_{i-1}
\frac{2}{3} 23 \frac{2}{3}
\sqrt{2} 2 \sqrt{2}
\sum_{i=1}^3 i=13 \sum_{i=1}^3
\sin \theta sinθ \sin \theta
\boxed{123} 123 \boxed{123}

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

Vamsi Krishna Appili - 6 years, 6 months ago

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Great job!

Calvin Lin Staff - 6 years, 6 months ago

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Can you explain what WLOG stands for?

Justin Wong - 6 years, 6 months ago

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

Morgan Dang - 6 years, 6 months ago

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Thanks.

Justin Wong - 6 years, 6 months ago

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

Sreehari Vp - 6 years, 6 months ago

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

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

Calvin Lin Staff - 6 years, 6 months ago

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"put it in lowest terms" means what?

Sreehari Vp - 6 years, 6 months ago

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

Vamsi Krishna Appili - 6 years, 6 months ago

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@Vamsi Krishna Appili thanks.....

Sreehari Vp - 6 years, 6 months ago

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

Sreehari Vp - 6 years, 6 months ago

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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 - 6 years, 6 months ago

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