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

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||Lecture#30||If gcd(a,b)=1,then gcd(2a+b,a+2b)=1 or 3 ||Prof.Latif Sajid||Lecture#30||If gcd(a,b)=1,then gcd(2a+b,a+2b)=1 or 3 ||Prof.Latif Sajid
||Lecture#15||If a|c and b|c with gcd(a,b)=1 then ab|c||Prof.Latif Sajid||Number Theory||||Lecture#15||If a|c and b|c with gcd(a,b)=1 then ab|c||Prof.Latif Sajid||Number Theory||
||Lecture#17||If a|bc with gcd(a,b)=1 then a|c||Examples||Prof.Latif Sajid||Number Theory||||Lecture#17||If a|bc with gcd(a,b)=1 then a|c||Examples||Prof.Latif Sajid||Number Theory||
||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
||Lecture#20||If gcd(a,b)=1 and gcd(a,c)=1 then gcd(a,bc)=1||Number Theory||Prof.Latif Sajid||Lecture#20||If gcd(a,b)=1 and gcd(a,c)=1 then gcd(a,bc)=1||Number Theory||Prof.Latif Sajid
THEORAM: If a|c , b|c and gcd(a,b) =1 then ab|cTHEORAM: If a|c , b|c and gcd(a,b) =1 then ab|c
If a and b are any two integers not both zero then gcd (a,b) exists and is unique || Number TheoryIf a and b are any two integers not both zero then gcd (a,b) exists and is unique || Number Theory
If gcd(a,b) =1 then show that gcd(2a+b,a+2b)=1 or 3If gcd(a,b) =1 then show that gcd(2a+b,a+2b)=1 or 3