Answer: 10x^4
Step-by-step explanation:
The coefficients 50, 20 and 90 have these prime factorizations
- 50 = 2*5*5
- 20 = 2*2*5
- 90 = 2*3*3*5
Each prime factorization has 2 and 5 involved. This makes 2*5 = 10 the GCF of those three values. The value 10 is the coefficient of the final answer.
The x terms are: x^5, x^9, x^4
We circle the x term with the smallest exponent to get the missing part of the GCF.
We combine 10 and x^4 to get 10x^4 as the GCF of 50x^5, 20x^9, and 90x^4.