GCD of 379, 826, 454, 589 Calculator

Given Input numbers are 379, 826, 454, 589

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

Divisors of 379

List of positive integer divisors of 379 that divides 379 without a remainder.

1, 379

Divisors of 826

List of positive integer divisors of 826 that divides 826 without a remainder.

1, 2, 7, 14, 59, 118, 413, 826

Divisors of 454

List of positive integer divisors of 454 that divides 454 without a remainder.

1, 2, 227, 454

Divisors of 589

List of positive integer divisors of 589 that divides 589 without a remainder.

1, 19, 31, 589

Greatest Common Divisior

We found the divisors of 379, 826, 454, 589 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 379, 826, 454, 589 is 1.

Therefore, GCD of numbers 379, 826, 454, 589 is 1

Given Input Data is 379, 826, 454, 589

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

Prime Factorization of 379 is 379

Prime Factorization of 826 is 2 x 7 x 59

Prime Factorization of 454 is 2 x 227

Prime Factorization of 589 is 19 x 31

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(379, 826) = 313054

GCD(379, 826) = ( 379 x 826 ) / 313054

GCD(379, 826) = 313054 / 313054

GCD(379, 826) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 454

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

LCM(1, 454) = 454

GCD(1, 454) = ( 1 x 454 ) / 454

GCD(1, 454) = 454 / 454

GCD(1, 454) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 589

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

LCM(1, 589) = 589

GCD(1, 589) = ( 1 x 589 ) / 589

GCD(1, 589) = 589 / 589

GCD(1, 589) = 1

GCD of 379, 826, 454, 589 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 781, 189, 164, 716
• GCD of 926, 442, 790, 111
• GCD of 367, 466, 574, 111
• GCD of 777, 415, 772, 784
• GCD of 459, 928, 368, 831

1. What is the GCD of 379, 826, 454, 589?

GCD of 379, 826, 454, 589 is 1

2. Where do I get the detailed procedure to find GCD of 379, 826, 454, 589?

You can find a detailed procedure to find GCD of 379, 826, 454, 589 on our page.

3. How to find GCD of 379, 826, 454, 589 on a calculator?

You can find the GCD of 379, 826, 454, 589 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.