GCD of 363, 521, 13, 379 Calculator

Given Input numbers are 363, 521, 13, 379

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

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Divisors of 521

List of positive integer divisors of 521 that divides 521 without a remainder.

1, 521

Divisors of 13

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

1, 13

Divisors of 379

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

1, 379

Greatest Common Divisior

We found the divisors of 363, 521, 13, 379 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 363, 521, 13, 379 is 1.

Therefore, GCD of numbers 363, 521, 13, 379 is 1

Given Input Data is 363, 521, 13, 379

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

Prime Factorization of 363 is 3 x 11 x 11

Prime Factorization of 521 is 521

Prime Factorization of 13 is 13

Prime Factorization of 379 is 379

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(363, 521) = 189123

GCD(363, 521) = ( 363 x 521 ) / 189123

GCD(363, 521) = 189123 / 189123

GCD(363, 521) = 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 379

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

LCM(1, 379) = 379

GCD(1, 379) = ( 1 x 379 ) / 379

GCD(1, 379) = 379 / 379

GCD(1, 379) = 1

GCD of 363, 521, 13, 379 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 335, 765, 63, 157
• GCD of 451, 991, 57, 248
• GCD of 250, 417, 74, 575
• GCD of 911, 827, 80, 560
• GCD of 927, 443, 75, 747

1. What is the GCD of 363, 521, 13, 379?

GCD of 363, 521, 13, 379 is 1

2. Where do I get the detailed procedure to find GCD of 363, 521, 13, 379?

You can find a detailed procedure to find GCD of 363, 521, 13, 379 on our page.

3. How to find GCD of 363, 521, 13, 379 on a calculator?

You can find the GCD of 363, 521, 13, 379 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.