GCD of 241, 319, 300, 129 Calculator

Given Input numbers are 241, 319, 300, 129

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

Divisors of 241

List of positive integer divisors of 241 that divides 241 without a remainder.

1, 241

Divisors of 319

List of positive integer divisors of 319 that divides 319 without a remainder.

1, 11, 29, 319

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 129

List of positive integer divisors of 129 that divides 129 without a remainder.

1, 3, 43, 129

Greatest Common Divisior

We found the divisors of 241, 319, 300, 129 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 241, 319, 300, 129 is 1.

Therefore, GCD of numbers 241, 319, 300, 129 is 1

Given Input Data is 241, 319, 300, 129

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

Prime Factorization of 241 is 241

Prime Factorization of 319 is 11 x 29

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 129 is 3 x 43

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(241, 319) = 76879

GCD(241, 319) = ( 241 x 319 ) / 76879

GCD(241, 319) = 76879 / 76879

GCD(241, 319) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 300

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

LCM(1, 300) = 300

GCD(1, 300) = ( 1 x 300 ) / 300

GCD(1, 300) = 300 / 300

GCD(1, 300) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 129

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

LCM(1, 129) = 129

GCD(1, 129) = ( 1 x 129 ) / 129

GCD(1, 129) = 129 / 129

GCD(1, 129) = 1

GCD of 241, 319, 300, 129 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 512, 745, 588, 298
• GCD of 691, 265, 894, 431
• GCD of 262, 963, 333, 207
• GCD of 420, 515, 188, 668
• GCD of 946, 629, 711, 462

1. What is the GCD of 241, 319, 300, 129?

GCD of 241, 319, 300, 129 is 1

2. Where do I get the detailed procedure to find GCD of 241, 319, 300, 129?

You can find a detailed procedure to find GCD of 241, 319, 300, 129 on our page.

3. How to find GCD of 241, 319, 300, 129 on a calculator?

You can find the GCD of 241, 319, 300, 129 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.