SOLUTION: determine the greatest common factor for the following 3 terms 24a^3b^4c^3, 120a^2b^4c^2, 35a^4b^4c^2

Algebra ->  Exponents -> SOLUTION: determine the greatest common factor for the following 3 terms 24a^3b^4c^3, 120a^2b^4c^2, 35a^4b^4c^2       Log On


   

Question 52960: determine the greatest common factor for the following 3 terms

24a^3b^4c^3, 120a^2b^4c^2, 35a^4b^4c^2
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
Break the terms into factors and see what they all have in common:
24a%5E3b%5E4c%5E3,120a%5E2b%5E4c%5E2,35a%5E4b%5E4c%5E2
2%5E3%2A3%2Aa%5E%282%2B1%29b%5E4c%5E%282%2B1%29,2%5E3%2A3%2A5a%5E2b%5E4c%5E2,5%2A7a%5E%282%2B2%29b%5E4c%5E2
2%5E3%2A3a%5E2ab%5E4c%5E2c,2%5E3%2A3%2A5a%5E2b%5E4c%5E2,5%2A7a%5E2a%5E2b%5E4c%5E2
The biggest thing that all three terms have in common is:
a%5E2b%5E4c%5E2