You need at least two numbers to find a GCF.
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
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.
The LCM of two numbers will never be less than the GCF.
The GCF of 2 numbers can be less than either number.
When you are trying to find the GCF of two numbers and one of the numbers is a multiple of the other, the GCF will be the smaller of the two numbers. The GCF of 3 and 9 is 3.
No but it can be the same as the biggest number as for example the gcf of 30 and 15 is 30
The LCM of a set of numbers will never be less than the GCF.
The LCM of a set of numbers will never be less than the GCF.
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, the GCF of two numbers can never be greater than the smaller number.
No, it's never greater than the smallest number.
I think you meant to say that it's never greater than the least of the numbers.The easiest explanation is to simply remind you that the GCF is a factor of every numberin the group, and no factor of a number can be greater than the number itself.
No. Firstly no positive number can have a factor greater than itself. A factor of a number is another number which can be divided into the first number exactly. A common factor of two numbers must obey the same rule with both numbers.
A number pair whose GCF is the same as one of the numbers is i , i x j where i and j are integers greater than zero. If i=3 and j=5 then the number pair will be 3,15. The GCF is 3. If i=7 and j=11 the number pair will be 7,77 and the GCF 7. The number of possible solutions is infinite.
When that number is a factor of the greater one.
The GCF and LCM of 10 and 10 is 10. But apart from that special circumstance, the LCM will never be less than the GCF. Apart from a number itself, all of its factors are smaller than it. Apart from a number itself, all of its multiples are larger than it. You can't have a GCF that is greater than the smaller number, and you can't have an LCM that is less than the larger one. Factors go into numbers, numbers go into multiples.
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