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GCF of variables with exponents
The GCF is the common variable with smallest exponent.
example
9x4 - 27x6
the gcf is 9X4
because:
9x4 (1-3x2) = 9x4 - 27x6
In the same way:
X5 is the GCF of X10 + x5 -x6
Because X5 ( X5 + 1 -x1) = X10 + x5 -x6
Remember the exponent rule if you are multiplyin the same base, you keep the base and add the exponents
Hope this helps
Btw this does not help me!
anna
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What is the greatest common factor of letters with exponents?
Just choose the smaller exponent. The GCF of a3 and a5 is a3
What is the greatest common factor of A B C?
Variables can be any number, leaving an infinite number of GCF possibilities.
How do you find the Greatest Common Factor of an algebraic expression?
Let's try one. 30x2y3z4 + 42x4y5z2 Do the numbers first. Factor them. 2 x 3 x 5 = 30 2 x 3 x 7 = 42 Select the common factors. 2 x 3 = 6 For the variables, select the lowest exponents. The GCF of the above expression is 6x2y3z2
24 is the greatest common factor of what number?
24 is not the greatest common factor of any single number. Common factors are the factors that two or more numbers have in common. The greatest common factor is the largest factor that two or more numbers have in common. There cannot be any common factors or a greatest common factor of a single number. There must be at least two number for common factors and a greatest common factor. Example: The greatest common factor of 24 and 48 is 24. The greatest common factor of 60 and 144 is 24. The greatest common factor of 240 and 264 is 24.
Why is there no Least Common factor if there is Greatest Common Factor?
The least common factor is always one (1), regardless of what the greatest common factor is.
How do you find the greatest common factor of variables?
Choose the lowest of the exponents. The GCF of x3 and x5 is x3
What is the greatest common factor of 12 and 15 using exponents?
The GCF is 3. No exponents needed.
How do you find GCF with varaibles only?
You look at the exponents. x5y2 and x3y4 The greatest common factor of these is the largest exponent of each. So the greatest common factor is: x3y2
How do you find least common multipleand greatest common factor with a number that has variables and exponents next to it?
Do the numerical factors (coefficients) first. For the GCF of the variables, choose the lowest power of each. For the LCM of the variables, choose the highest power of each. Example 6x2y3z4 and 9x3y4z2 The GCF is 3x2y3z2 The LCM is 18x3y4z4
How do you find the gcf and LCM of numbers with variables and-exponents?
For the greatest common factor, you check which variables appear in each of the expressions. In the case of exponents, you take the lowest exponent for each variable. For the least common multiple, you take each variable, whether it appears in all of the expressions involved, or only in some of them. In the case of the exponents, you take the greatest exponent for each variable. If there are numeric coefficients (numbers as products), you take either the gcf or the lcm of those in the usual way.
What is the greatest common factor C and B?
The greatest factors of A, B, and C, respectively, are the absolute values of A, B, and C. The greatest common factor of A, B, and C is 1.
What is the greatest common factor of letters with exponents?
Just choose the smaller exponent. The GCF of a3 and a5 is a3
Write the prime factorization using exponents of each number then find the greatest common factor of the numbers 12 and 15?
2.2.3 and
What is the greatest common factor of A B C?
Variables can be any number, leaving an infinite number of GCF possibilities.
The greatest factor that two or more numbers have common is the greatest common factor or what?
The greatest factor that two or more numbers have in common is known as the greatest common factor, or GCF.
What does cancel any common factors in fractions?
Simplification using the greatest common factor does.Simplification using the greatest common factor does.Simplification using the greatest common factor does.Simplification using the greatest common factor does.
How do you find the Greatest Common Factor of an algebraic expression?
Let's try one. 30x2y3z4 + 42x4y5z2 Do the numbers first. Factor them. 2 x 3 x 5 = 30 2 x 3 x 7 = 42 Select the common factors. 2 x 3 = 6 For the variables, select the lowest exponents. The GCF of the above expression is 6x2y3z2
