GCD of 129, 261, 398, 443 Calculator

Given Input numbers are 129, 261, 398, 443

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

Divisors of 129

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

1, 3, 43, 129

Divisors of 261

List of positive integer divisors of 261 that divides 261 without a remainder.

1, 3, 9, 29, 87, 261

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Divisors of 443

List of positive integer divisors of 443 that divides 443 without a remainder.

1, 443

Greatest Common Divisior

We found the divisors of 129, 261, 398, 443 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 129, 261, 398, 443 is 1.

Therefore, GCD of numbers 129, 261, 398, 443 is 1

Given Input Data is 129, 261, 398, 443

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

Prime Factorization of 129 is 3 x 43

Prime Factorization of 261 is 3 x 3 x 29

Prime Factorization of 398 is 2 x 199

Prime Factorization of 443 is 443

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(129, 261) = 11223

GCD(129, 261) = ( 129 x 261 ) / 11223

GCD(129, 261) = 33669 / 11223

GCD(129, 261) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 398

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

LCM(3, 398) = 1194

GCD(3, 398) = ( 3 x 398 ) / 1194

GCD(3, 398) = 1194 / 1194

GCD(3, 398) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 443

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

LCM(1, 443) = 443

GCD(1, 443) = ( 1 x 443 ) / 443

GCD(1, 443) = 443 / 443

GCD(1, 443) = 1

GCD of 129, 261, 398, 443 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 952, 240, 328, 632
• GCD of 912, 645, 620, 464
• GCD of 103, 787, 513, 916
• GCD of 402, 662, 113, 566
• GCD of 439, 426, 151, 493

1. What is the GCD of 129, 261, 398, 443?

GCD of 129, 261, 398, 443 is 1

2. Where do I get the detailed procedure to find GCD of 129, 261, 398, 443?

You can find a detailed procedure to find GCD of 129, 261, 398, 443 on our page.

3. How to find GCD of 129, 261, 398, 443 on a calculator?

You can find the GCD of 129, 261, 398, 443 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.