Solution of System of Linear Congruence in2 variables|Modular Arithmetic|22mats101Mod-4|Dr. Sujata T
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- Опубліковано 10 лют 2025
- @mathforall-st1rk
In this video one, more important example of a system of linear congruence equations in two variables is solved.
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The Greatest Common Divisor (GCD), also known as the Greatest Common Factor (GCF) or Highest Common Factor (HCF), of a set of numbers is the largest positive integer that divides each of the numbers without leaving a remainder.
Finding the GCD of 2, 6, and 7:
1. List the factors of each number:
Factors of 2: 1, 2
Factors of 6: 1, 2, 3, 6
Factors of 7: 1, 7
2. Identify the common factors:
The only common factor among 2, 6, and 7 is 1.
3. Conclusion:
Since 1 is the only common factor, the GCD of 2, 6, and 7 is 1.
This means that 2, 6, and 7 are relatively prime to each other; they have no common divisors other than 1.
Thank you mam!
❤ tq mam ur video is helpful for students once again Tq mam
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Ma:am how to solve system of congruence when gcd(ad-bc,n) not equal to one
In such case you will get (n-1) incongruent solutions. Refer previous videos. Getting unique solution is special case(iff) gcd (ad-bc, n)=1
@@mathforall-st1rkunable to understand maam....what affect it will have on the question if gcd of ad - bc, n is not equal to one?
Little bit not understand mam how to take gcd
You can watch introductory videos. Still gcd - greatest common divisor.
Divisors of
2 - 1, 2
6 - 1, 2, 3, 6
7 - 1, 7
Among these common divisor is 1
gcd(2 6 7) = 1.
In 3:34 it is -18,7 because ur munusing 6-24
Yes. No problem, remaining steps are correct. Here we are using gcd (ad-bc, m) = 1 as condition to possess unique solution, gcd (-18, 7) = 1 only.
x=4 y=7 also a soln. Why soln not unique?
Mam how to find gcd
Same doubt
The number which can divide all(a,b,r)
In this case (2,6,7) 7 is prime number which cannot be divided by any other number but 7 or 1
1 can divide all the three (2,6,7)
Therefore the gcd is 1
Dammmmmmmmmmmm 🍉🍉 6:19 @@djjdndsjaia8jsnd
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@@ayushrana3951 ?