Lec_11,Number Theory, Defining linear combination of 2 integers. Writing gcd as a linear combination

Table of Contents 00:10 Definition and examples of linear combination of two integers. 05:43 Finding G.C.D. using Euclidean algorithm. 09:39 Writing G.C.D. as linear combination of the two integers. 19:34 A note. In this lecture series "Number Theory" Mr. Javed Ali will cover the syllabus of B.Sc. two year b-course of mathematics, ADP program, BS mathematics and M.Sc. mathematics. We shall be thankful to all those, who will comment and message us on our channels whatsapp number (092)03154414993.

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Lec_12, Number Thoery, GCD is the smallest positive linear combination. (Urdu/Hindi)
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Lec_12, Number Thoery, GCD is the smallest positive linear combination. (Urdu/Hindi)

Diophantine Equation: ax+by=gcd(a,b) ← Number Theory
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Diophantine Equation: ax+by=gcd(a,b) ← Number Theory

Introduction to Number Theory|Lecture 01|Division Algorithm|GCD|Euclidean Algorithm|PRADEEP GIRI SIR
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Introduction to Number Theory|Lecture 01|Division Algorithm|GCD|Euclidean Algorithm|PRADEEP GIRI SIR

Lec_08, Number Theory, Definition and examples of relatively prime integers, G.C.D. is unique.
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Lec_08, Number Theory, Definition and examples of relatively prime integers, G.C.D. is unique.

11. find g.c.d of given numbers and express it as linear combination of them | number theory
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11. find g.c.d of given numbers and express it as linear combination of them | number theory

Using Euclidean algorithm to write gcd as linear combination
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Using Euclidean algorithm to write gcd as linear combination

Find integers x and y such that gcd (a, b) = a x + b y /gcd (a, b) as linear combinations of a and b
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Find integers x and y such that gcd (a, b) = a x + b y /gcd (a, b) as linear combinations of a and b

Lec_05, Number Theory, Euclid's Theorem (division algorithm), statement and proof. (Urdu/Hindi).
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Lec_05, Number Theory, Euclid's Theorem (division algorithm), statement and proof. (Urdu/Hindi).

Every integer greater than 1 has a prime divisor. Lec_25 , Number Theory.
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Every integer greater than 1 has a prime divisor. Lec_25 , Number Theory.

EUCLIDS ALGORITHM | Number of Theory| Greatest Common Divisor | Euclids Algorithm
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EUCLIDS ALGORITHM | Number of Theory| Greatest Common Divisor | Euclids Algorithm

3. Linear Congruence and Solution | incongruent solutions | Number theory || #Bscmaths
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3. Linear Congruence and Solution | incongruent solutions | Number theory || #Bscmaths

GCD - Euclidean Algorithm (Method 1)
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GCD - Euclidean Algorithm (Method 1)

||Lecture#13||GCD(a,b)=ax+by where a,b∈Z,not both are zero||Number Theory||@PRECIOUS LINES
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||Lecture#13||GCD(a,b)=ax+by where a,b∈Z,not both are zero||Number Theory||@PRECIOUS LINES

Belgien – Ägypten Highlights | Gruppe G, FIFA WM 2026 | sportstudio
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Belgien – Ägypten Highlights | Gruppe G, FIFA WM 2026 | sportstudio

20 MINUTE LINEAR ALGEBRA Hacks for Mastering Spanning Sets
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20 MINUTE LINEAR ALGEBRA Hacks for Mastering Spanning Sets

Extended Euclidean Algorithm
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Extended Euclidean Algorithm

Lec_09, Number Theory, If GCD of a and b is d, then a/d and b/d are relatively prime. (Urdu/Hindi)
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Lec_09, Number Theory, If GCD of a and b is d, then a/d and b/d are relatively prime. (Urdu/Hindi)

Lec_01, Number Theory, Definition of divisibility and some results. (Urdu/Hindi).
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Lec_01, Number Theory, Definition of divisibility and some results. (Urdu/Hindi).

But what is quantum computing? (Grover's Algorithm)
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But what is quantum computing? (Grover's Algorithm)

Fundamental Theorem of Arithmetic, Lec_27, Number Theory
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Fundamental Theorem of Arithmetic, Lec_27, Number Theory