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QUESTION 8 - 1 POINT
Find the GCF of the following three monomials:
\[
21 x^{8} y^{5} \quad 63 x^{5} y^{2} \quad 45 x^{4} y^{3}
\]
Provide your answer below:
Answer
Combine the GCF of the coefficients and the highest powers of x and y to find the GCF of the three monomials. The GCF is \(\boxed{3x^4y^2}\).
Step 1 ：Find the GCF of the coefficients 21, 63, and 45. The GCF is \(3\).
Step 2 ：Find the highest power of x that divides evenly into all three monomials. The powers of x in the three monomials are 8, 5, and 4. The highest power of x that divides evenly into all three is \(x^4\).
Step 3 ：Find the highest power of y that divides evenly into all three monomials. The powers of y in the three monomials are 5, 2, and 3. The highest power of y that divides evenly into all three is \(y^2\).
Step 4 ：Combine the GCF of the coefficients and the highest powers of x and y to find the GCF of the three monomials. The GCF is \(\boxed{3x^4y^2}\).
