The LCM for any pair of natural numbers can be as big as their product.
No, it's never greater than the smallest number.
A square number
False
Because there are many examples where that isn't so. The GCF of 36 and 24 is 12. The GCF of 151 and 149 is 1.
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.
No.
No.
No.
No.
No. The LCM of 4 and 6 is 12.
The LCM is never less than the greatest number in the set. The LCM of 4 and 9 is 36.
No. At most, it can be equal to the smaller number.
A number can't have a factor greater than itself, so the GCF of a pair of numbers can't ever be greater than the smaller number. The GCF of 9 and 18 is 9.
No, it's never greater than the smallest number.
Not at all. For example: gcf(101, 102) = 1 gcf(40, 80) = 40
No, it's never greater than the smallest number.
Yes, if one of the numbers is a factor of the other.