what is the greatest common factor of 42a^5b^3, 35a^3b^4, and 42ab^4? 7ab^3 6a^4b 42a^5b^4 77a^8b^7
\(42a^5b^3=7ab^3\cdot6a^4\\\\35a^3b^4=7ab^3\cdot5a^2b\\\\42ab^4=7ab^3\cdot6b\\\\\boxed{GCF(42a^5b^3,\ 35a^3b^4,\ 42ab^4)=7ab^3}\)
Answer:
\(7ab^{3}\) is the answer.
Step-by-step explanation:
The given equation is :
\(42a^{5}b^{3}\) = \(2*3*7*a*a*a*a*a*b*b*b\)
\(35a^{3}b^{4}\) = \(5*7*a*a*a*b*b*b*b\)
\(42ab^{4}\) = \(2*3*7*a*b*b*b*b\)
Hence, taking the common factors from each term and combining them to create the Greatest Common Factor. We get \(7ab^{3}\)