which of the following CANNOT be the greatest common divisor of two positive integers x and y ?
Do you assume a random value of x and y for this ?
Thats E: (x +y). Greatest common divisor (GCD) of two integers can never be the sum of these integers. For example:
1 and 1 cannot have GCD of 2.
1 and 5 cannot have GCD of 6.
2 and 3 cannot have GCD of 5.
2 and 5 cannot have GCD of 7.
5 and 5 cannot have GCD of 10.
15 and 25 cannot have GCD of 40.
Similarly, x and y cannot have GCD of (x+y).
However (x-y) is possible: Suppose x = 4 and y = 6. The GDC is x-y = 6-4= 2.
1, x, and y can easily be the GCD of integers x and y.
GCF of x and y can't be greater than the difference between x and y.
Are you sure about that rule?
GCF of 2 equal numbers is the number itself > difference of the two numbers (0)
I would say the GCF of two numbers can't be greater than either of the numbers.