If the GCD of ab and c is 1, it means that the greatest common divisor of a and b is 1, and there are no common factors between a and b except for 1. This also means that a and b are relatively prime numbers.
The implications of having a GCD of 1 for a and b are that they do not have any common factors besides 1, making them relatively prime. This can be useful in mathematical operations such as simplifying fractions or finding the LCM (Least Common Multiple) of a and b.
Yes, a and b can be any numbers as long as their GCD is 1. This means that even if a and b are not prime numbers, they can still have a GCD of 1 as long as they do not have any common factors besides 1.
If the GCD of ab and c is 1, it means that there are no common factors between a and b, and c. This can have implications for the overall value of the equation, as it may affect the result of any mathematical operations involving a, b, and c.
Another implication of having a GCD of 1 for a and b is that it indicates that a and b are coprime numbers. This means that they do not share any common factors besides 1, making them useful in various mathematical applications such as cryptography and number theory.