Category Archives: Abstract Algebra

Why (a/d,b/d)=1 ? where d is (a,b)

Posted on December 1, 2022 by Sumant Sumant
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When we can cancel common factors in mod equality ?

Posted on November 30, 2022 by Sumant Sumant
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How to think of linear equation as a mod equation ?

Posted on November 29, 2022 by Sumant Sumant
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Smallest number leaving same remainder of 1

Posted on November 27, 2022 by Sumant Sumant
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Crux argument in proof showing why every common divisor divides gcd and why every common multiple divides lcm

Posted on November 27, 2022 by Sumant Sumant
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Why GCD*LCM=Product of numbers themselves

Posted on November 19, 2022 by Sumant Sumant
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Why every common divisor divides GCD and LCM divides every common multiple i.e c|(a,b) and [a,b]|k ?

Posted on November 18, 2022 by Sumant Sumant
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Why shortcut to GCD works ?

Posted on November 17, 2022 by Sumant Sumant
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3 steps to understand why smallest positive linear combination of two numbers give GCD

Posted on November 17, 2022 by Sumant Sumant
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Depressed cubic equation: An important step to solve any cubic equation.

Posted on August 5, 2022 by Sumant Sumant

The equation missing the term is a depressed cubic equation. . Using one can get . All one needs after that is to eliminate and

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