Content attribution 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:

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 \(\boxed{3x^4y^2}\).