Find the greatest common divisor (GCD) of 144x3y2 and 81x1y4.

Here are the solutions to the problems. 1) a) Step 1: Find the prime factorization of the numerical coefficients. 144 = 2⁴ × 3²; 81 = 3⁴ The greatest common divisor (GCD) of 144 and 81 is the product of the lowest powers of their common prime factors. GCD(144, 81) = 3² = 9 Step 2: Find the GCD of the variable parts. For x: The terms are x³ and x¹. The lowest power is x¹. For y: The terms are $y²

Find the greatest common divisor (GCD) of 144x3y2 and 81x1y4.

Here are the solutions to the problems. 1) a) Step 1: Find the prime factorization of the numerical coefficients. 144 = 2⁴ × 3²; 81 = 3⁴ The greatest common divisor (GCD) of 144 and 81 is the product of the lowest powers of their common prime factors. GCD(144, 81) = 3² = 9 Step 2: Find the GCD of the variable parts. For x: The terms are x³ and x¹. The lowest power is x¹. For y: The terms are $y²

Solved: Find the greatest common divisor (GCD) of 144x3y2…

Here are the solutions to the problems.

1) a)

Find the prime factorization of the numerical coefficients.
$144 = 2^4 \times 3^2$ $81 = 3^4$
The greatest common divisor (GCD) of 144 and 81 is the product of the lowest powers of their common prime factors.
$\text{GCD}(144, 81) = 3^2 = 9$
Find the GCD of the variable parts.
For $x$ : The terms are $x^3$ and $x^1$ . The lowest power is $x^1$ .
For $y$ : The terms are $y^2

Find the greatest common divisor (GCD) of 144x3y2 and 81x1y4.

Step-by-step solution

Find the prime factorization of the numerical coefficients.

Find the GCD of the variable parts.

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