GCD of 450, 440, 326, 225 Calculator

Given Input numbers are 450, 440, 326, 225

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 450

List of positive integer divisors of 450 that divides 450 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 440

List of positive integer divisors of 440 that divides 440 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Divisors of 326

List of positive integer divisors of 326 that divides 326 without a remainder.

1, 2, 163, 326

Divisors of 225

List of positive integer divisors of 225 that divides 225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225

Greatest Common Divisior

We found the divisors of 450, 440, 326, 225 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 450, 440, 326, 225 is 1.

Therefore, GCD of numbers 450, 440, 326, 225 is 1

Given Input Data is 450, 440, 326, 225

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 450 is 2 x 3 x 3 x 5 x 5

Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11

Prime Factorization of 326 is 2 x 163

Prime Factorization of 225 is 3 x 3 x 5 x 5

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(450, 440) = 19800

GCD(450, 440) = ( 450 x 440 ) / 19800

GCD(450, 440) = 198000 / 19800

GCD(450, 440) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 326

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(10, 326) = 1630

GCD(10, 326) = ( 10 x 326 ) / 1630

GCD(10, 326) = 3260 / 1630

GCD(10, 326) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 225

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 225) = 450

GCD(2, 225) = ( 2 x 225 ) / 450

GCD(2, 225) = 450 / 450

GCD(2, 225) = 1

GCD of 450, 440, 326, 225 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 983, 648, 450, 813
• GCD of 225, 528, 812, 266
• GCD of 312, 674, 823, 772
• GCD of 859, 611, 182, 167
• GCD of 831, 630, 104, 515

1. What is the GCD of 450, 440, 326, 225?

GCD of 450, 440, 326, 225 is 1

2. Where do I get the detailed procedure to find GCD of 450, 440, 326, 225?

You can find a detailed procedure to find GCD of 450, 440, 326, 225 on our page.

3. How to find GCD of 450, 440, 326, 225 on a calculator?

You can find the GCD of 450, 440, 326, 225 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.