Prof. Latif Sajid

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I'm Muhammad Latif Sajid, currently teaching at GHSS Allahabad and Lecturer in Aspire College and Concordia College Part Time . Through this channel, I'm on ...

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12th MathLe#02Basic definition about calculus@PRECIOUS LINES

12th MathWhat is CalculusLec#[email protected]

Lecture#46Fundamental theorem of arithmeticProof with examples@PRECIOUS LINES

Lecture#45If p is a prime and pq₁q₂q₃...qₙ then pqₓ where 1≤x≤n,all primesExamples

Lecture#44If p is a prime and pa₁a₂a₃...aₙ then paₓ where 1≤x≤nProf.Latif Sajid

Lecture#43Prime NumbersComposite NumbersExamplesProf.Latif Sajid

Lecture#41Solve the linear diophantine equation 123x+360y=99Prof.Latif Sajid

Lecture#42Solve the linear diophantine equation 158x-57y=7@PRECIOUS LINES

Lecture#39The linear diophantine equationSolution of ax+by=c exist iff dc where d=gcd(a,b)

Lecture#40Solve the linear diophantine equation 172x+20y=1000@PRECIOUS LINES

Lecture#37If a and b are non zero then gcd(a,b)lcm(a,b)=abProf.Latif Sajid

Lecture#38If k≥0 then prove that lcm(ka,kb)=klcm(a,b)Prof.Latif Sajid

Lecture#35Common multiplesLeast common multipleExamplesProf.Latif Sajid

Lecture#36Least common multiple of a and b is uniqueProf.Latif Sajid

Lecture#34Find x,y,z when gcd(198,288,512)=198x+288y+512zProf.Latif Sajid

Lecture#33If gcd(a,b)=1,then gcd(a-b,a+b,ab)=1Prof.Latif Sajid

Lecture#32If gcd(a,b,c)=d,then gcd(gcd(a,b),c)=gcd(a,gcd(b,c)=gcd(gcd(a,c),b) Prof.Latif Sajid

Lecture#31Greatest common divisor of more than two integersExampleProf.Latif Sajid

Lecture#30If gcd(a,b)=1,then gcd(2a+b,a+2b)=1 or 3 Prof.Latif Sajid

Lecture#28By euclidean algorithm Find x,y satisfies gcd(1769,2378)=1769x+2378yProf.Latif Sajid

Lecture#29If gcd(a,b)=1,then gcd(a+b,a-b)=1 or 2 Prof.Latif Sajid

Lecture#27If a=bq+r then gcd(a,b)=gcd(b,r) Prof.Latif Sajid

Lecture#26If a,b∈Z with gcd(a,b)=d,then gcd(ad,bd)=1 ExampleProf.Latif Sajid

Lecture#25If k≥0 then prove that gcd(ka,kb)=kgcd(a,b)@PRECIOUS LINES

Lecture#24Proof The EUCLIDEAN ALGORITHM Prof.Latif Sajid

Lecture#23Find gcd(12378,3054 and written as linear combination @PRECIOUS LINES

Lecture#21If a,b∈Z,not both zero then prove that gcd(a,b)=gcd(-a,b)=gcd(a,-b)=gcd(-a,-b)

Lecture#22For a non zero integera prove that gcd(a,0)=a,gcd(a,a)=a,gcd(a,1)=1Prof.Latif Sajid

Lecture#19If gcd(a,b)=1 then gcd(ac,b)=gcd(c,b)Number TheoryProf.Latif Sajid

Lecture#20If gcd(a,b)=1 and gcd(a,c)=1 then gcd(a,bc)=1Number TheoryProf.Latif Sajid