(NUMBER THEORY) Lecture 21: For integers a and b , gcd(a,b)lcm(a,b)=ab

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21. Properties of GCD and Relatively Prime Integers | Elementary Number Theory | David M. Burton 21. Properties of GCD and Relatively Prime Integers | Elementary Number Theory | David M. Burton
||Lecture#21||If a,b∈Z,not both zero then prove that gcd(a,b)=gcd(-a,b)=gcd(a,-b)=gcd(-a,-b)|| ||Lecture#21||If a,b∈Z,not both zero then prove that gcd(a,b)=gcd(-a,b)=gcd(a,-b)=gcd(-a,-b)||
#Chapter 2#For positive integers a and b gcd(a, b) lcm(a, b) =ab #Conceptual Mathematics #Chapter 2#For positive integers a and b gcd(a, b) lcm(a, b) =ab #Conceptual Mathematics
It It's So Elegant! 😍 Prove gcd(a,b)*lcm(a,b)=a*b with the GCD is a Linear Combination Theorem
a.b = gcd(a, b). lcm(a, b) a.b = gcd(a, b). lcm(a, b)
let let a and b be positive integers then (a,b)[a,b]=ab. or gcd (a,b) lcm (a,b) =ab |Great vision| let let a and b be positive integers then (a,b)[a,b]=ab. or gcd (a,b) lcm (a,b) =ab |Great vision|
||Lecture#18||If gcd(a,b)=1 and c|a then gcd(b,c)=1||Number Theory||Prof.Latif Sajid ||Lecture#18||If gcd(a,b)=1 and c|a then gcd(b,c)=1||Number Theory||Prof.Latif Sajid
for a positive integer a and b gcd(a,b) lcm (a,b)=ab #hpu #divisionalgorithm #analytics for a positive integer a and b gcd(a,b) lcm (a,b)=ab #hpu #divisionalgorithm #analytics