Question

Find the gcd of ab2c3 ,a2b3c,a3bc2

Answer 1

GIVEN :

The polynomials are $ab^2c^3$ ,$a^2b^3c$, $a^3bc^2$

TO FIND :

The gcd of the given polynomials $ab^2c^3$ ,$a^2b^3c$, $a^3bc^2$

SOLUTION :

Given that the polynomials are $ab^2c^3$ ,$a^2b^3c$, $a^3bc^2$

Now we can write the factors for the given polynomials as below :

$ab^2c^3=a\times b\times b\times c\times c\times c$,

$a^2b^3c=a\times a\times b\times b\times b\times c$,

$a^3bc^2=a\times a\times a\times b\times c\times c$

⇒ The common factors for the given polynomials are $a\times b\times c$ or abc

∴ The gcd of  the given polynomials $ab^2c^3$ ,$a^2b^3c$, $a^3bc^2$  is  $a\times b\times c$ or abc .