Yes.
No. The GCF can be less than or equal to the smallest coefficient.
No. The smallest coefficient possible is 1, and the smallest GCF is also 1. You cannot have a common factor of zero.
No.
Yes.
The GCF of 2 numbers can be less than either number.
It can be and is.
I can't give you an example of when that happens because that doesn't ever happen. The GCF of a pair of numbers can't be larger than the smaller number.
Given a set of number, the GCF is a factor of every one of them. As a factor, it cannot be larger than them so the GCF is at most as large as the smallest of the number in the set.The LCM of the same set is a multiple of each element in the set. The LCM must, therefore, be at least as great as the largest element in the set.Thus if x is the smallest member of a set S and y is the largest, thenGCF
No number can have a multiple smaller than itself. No number can have a factor larger than itself. In a set of two numbers, the LCM can't be smaller than the larger number and the GCF can't be larger than the smaller number. In rare cases, the LCM can equal the GCF, but it can never be smaller.
Sure. It happens to be 2 .The GCF of a group of numbers can never bemore than the smallest one in the bunch.
The GCF of 4, 12, and 84 is 4. The GCF can never be greater than the smallest of the numbers in the set. In this case, the smallest number is 4, and it is easy to see that it is a factor of both 12 and 84.
No, the GCF of any two numbers can't get greater than the smaller of the two numbers.