mathematical gem 2: Proof the property on the greatest common divisor and the...

victor l

New member
...Bezout's identity step by step!? 1)For any two integers a and b, their greatest common divisor and their least common multiple satisfy the following identity: gcd(a,b) times lcm(a,b)= abosolute value of ab

2)if a and b are nonzero integers with greatest common divisor d, then there exist integers x and y (called Bézout numbers or Bézout coefficients) such that ax + by =d
 
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