4 and 120
30 = 3 x 1040 = 4 x 10The GCF of 30 and 40 is 10.30 x 4 = 12040 x 3 = 120The LCM of 30 and 40 is 120.
The GCF is 1.
gcf for these numbers 345 253 and 115 is 23.
Prime and relatively prime numbers all have a GCF of 1.
I am asssuming that the numbers are too large for you to simply see them and "know" their GCF. The easiest way to find the GCF of 2 numbers is the Euclidean method. It is somewhat awkward to explain but once understood, is very easy to use. The idea here is to make the numbers that you are dealing with smaller and smaller so as to simplify the problem. Suppose you start with the two numbers p and q where p > q. Assume that they are not equal for if p = q, then their GCF is p (or q). The GCF of p and q is the same as the GCF of the smaller number, (say q), and p-q. Repeat this process and keep going until the two numbers are the same. So, for example, ket us try to find the GCF of 1836 and 1428 GCF(1836, 1428)] = GCF(1428, 1836-1428) = GCF(1428, 408) = GCF(408, 1428-408) = GCF(408, 1020) = GCF(408, 1020-408) = GCF(408, 612) = GCF(408, 612-408) = GCF(408, 204) = GCF(204, 408-204) = GCF(204, 204) The two numbers are the same so STOP! The answer is 204. It is not a particularly fast method, but it is simple: all you need to now is subtraction.
12 and 20
4 and 120
No, the only way the GCF and LCM of two numbers can be the same is if the numbers are the same.
No, the only way the GCF and LCM of two numbers can be the same is if the numbers are the same.
Two numbers have a GCF. Two sets of two numbers may have the same GCF.
The same as what? The GCF of two numbers will be the same; the GCF of 3 and 9 will always be 3. The GCF of 9 and 12 will also always be 3, but the GCF of 4 and 12 will always be 4.
The GCF of those numbers is 4. If 20 disappeared, the GCF of the remaining numbers would be 8.
The product of the GCF and the LCM is the same as the product of the original two numbers. Divide the product of the original numbers by the GCF. The result will be the LCM.
30 doesn't have a GCF. You need at least two numbers to have a GCF.
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.
Only if they're the same number. The LCM and GCF of 10 and 10 is 10.
Example: GCF of 6 and 12= 2 Example 2: GCF of 54 and 6=9 List all the factors of the numbers you use, then if the numbers you have when you list the factors have the same number in both sets of numbers, that is your GCF