Question

Gcd of 6x^2yz,9x^2yz,12x^2y^2z
Is

Answer 1

Answer:

Step-by-step explanation:

Answer 2

GCD of given algebraic expressions is $3x^{2}yz$.

Step-by-step explanation:

Gcd is Greatest Common Divisor, which means the greatest of all the common divisors of some numbers/expressions, which is actually just another name for Highest Common Factor (HCF).

Divisors are numbers/variables that exactly divide the number/expression.

So, we have to find the greatest common divisor of $6 x^{2} yz, \ 9x^{2}yz , \ 12x^{2}y^{2}z$.

Divisors/Factors of $6 x^{2} yz$  $= 2 \times 3 \times x \times x \times y \times z$

Divisors/Factors of $9 x^{2} yz = 3 \times 3 \times x \times x \times y \times z$

Divisors/Factors of $12 x^{2} y^{2} z = 3 \times 4 \times x \times x \times y \times y \times z$

So, Common Divisors of all = $3 , x , x , y \ \& \ z$

Greatest Common Divisor of $6 x^{2} yz, \ 9x^{2}yz , \ 12x^{2}y^{2}z$ $= 3 \times x \times x \times y \times z$

                                                                                     $= 3x^{2}yz$

Thus, GCD of $6 x^{2} yz, \ 9x^{2}yz , \ 12x^{2}y^{2}z$ $= 3x^{2}yz$.