Greatest Common Divisor

Problem of the Week - May 13, 2024



It is a well-known fact that for any two positive integers a and b, there are integers x and y so that ax + by = gcd(a,b) Find integer y so that 1234x + 5432y = gcd(1234,5432).  (gcd is greatest common divisor). 

Problem submitted by Pat Costello, Eastern Kentucky University

 

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