GCD of 379, 998, 13, 574 Calculator

Given Input numbers are 379, 998, 13, 574

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 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 574

List of positive integer divisors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

Greatest Common Divisior

We found the divisors of 379, 998, 13, 574 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 379, 998, 13, 574 is 1.

Therefore, GCD of numbers 379, 998, 13, 574 is 1

Given Input Data is 379, 998, 13, 574

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

Prime Factorization of 379 is 379

Prime Factorization of 998 is 2 x 499

Prime Factorization of 13 is 13

Prime Factorization of 574 is 2 x 7 x 41

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, 998) = 378242

GCD(379, 998) = ( 379 x 998 ) / 378242

GCD(379, 998) = 378242 / 378242

GCD(379, 998) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 13

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

LCM(1, 13) = 13

GCD(1, 13) = ( 1 x 13 ) / 13

GCD(1, 13) = 13 / 13

GCD(1, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 574

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

LCM(1, 574) = 574

GCD(1, 574) = ( 1 x 574 ) / 574

GCD(1, 574) = 574 / 574

GCD(1, 574) = 1

GCD of 379, 998, 13, 574 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 339, 926, 34, 815
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• GCD of 430, 845, 99, 868

1. What is the GCD of 379, 998, 13, 574?

GCD of 379, 998, 13, 574 is 1

2. Where do I get the detailed procedure to find GCD of 379, 998, 13, 574?

You can find a detailed procedure to find GCD of 379, 998, 13, 574 on our page.

3. How to find GCD of 379, 998, 13, 574 on a calculator?

You can find the GCD of 379, 998, 13, 574 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.