Question

what is the gcf of 12a2 15a3 18a5

Answer 1

Step-by-step explanation:

let 12a^2 ,15a^3 and 18 a^ 5 are f(a), g(a) and h(a)

f(a)= 2×2×3a×a

g(a)=3×5a× a× a

h(a)=3×2×3a×a×a×a×a

r(a)=3a^2

Answer 2

Given,

The main numbers are = 12a², 15a³, 18a⁵

To find,

The GCF or Greatest Common Factor of the given numbers.

Solution,

First of all, we have to calculate the prime factors of the given numbers. And,the multiplication of the common prime factors will be the result of GCF or Greatest Common Factor.

Prime factorization :

12a² = 3×2×2×a×a

15a³ = 3×5×a×a×a

18a⁵ = 3×3×2×a×a×a×a×a

Common factors = 3,a,a

GCF or Greatest Common Factor = 3×a×a = 3a²

Hence, ths GCF or the Greatest Common Factor of the given numbers is 3a².