4x
6x3
The GCF is 15x^2y^2
The only common factor of those two terms is the number three, giving you: 3(x3 - 8y3)
You can get hte greatest common factor of three numbers by the same method you use for two numbers: splitting each number into prime factors and taking all common factors. Or, if you want to use Euclid's algorithm: gcf(25, 5, 11) = gcf(gcf(25, 5), 11)). In other words, you can take the greatest common factor of any two numbers, then the greatest common factor of the result and the third number.
One way to solve this is to find the least common multiple of two of the numbers, and then find the least common multiple of that result with the third number. The least common multiple of two numbers is their product divided by their greatest common factor.The greatest common factor of 10 and 16 is 2, so the least common multiple is 10 x 16 ÷ 2 = 80.The greatest common factor of 80 and 24 is 8, so the least common multiple is 80 x 24 ÷ 8 = 240.The least common multiple of 10, 16, and 24 is 240.Another way to solve this is to find the prime factors of each number, then choose the highest power of each factor and multiply them together.The prime factors of 10 are 2 and 5.The prime factors of 16 are 2, 2, 2, and 2, which is 24.The prime factors of 24 are 2, 2, 2, and 3, which is 23 and 3.The highest power of 2 is 24, the highest power of 3 is 3, and the highest power of 5 is 5. So, the least common multiple is 24 x 3 x 5 = 16 x 3 x 5 = 240.
4c
6x3
3x
The GCF is a^2b
The GCF is 2x.
You need at least two terms to find a GCF.
The GCF is 8x^3
27a3b2
The greatest common factor of 55 and 10 is 5.5 x 11 = 555 x 2 = 10
Take the greatest common factor of the first two numbers - for example, using Euclid's algorithm. Then take the greatest common factor of the result, and the third number, etc.
The GCF is 15x^2y^2
2 to the third power x2=highest common factor of 100 and 96=16