GCD of 363, 820, 319, 131 Calculator

Given Input numbers are 363, 820, 319, 131

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 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 319

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

1, 11, 29, 319

Divisors of 131

List of positive integer divisors of 131 that divides 131 without a remainder.

1, 131

Greatest Common Divisior

We found the divisors of 363, 820, 319, 131 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 363, 820, 319, 131 is 1.

Therefore, GCD of numbers 363, 820, 319, 131 is 1

Given Input Data is 363, 820, 319, 131

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 820 is 2 x 2 x 5 x 41

Prime Factorization of 319 is 11 x 29

Prime Factorization of 131 is 131

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, 820) = 297660

GCD(363, 820) = ( 363 x 820 ) / 297660

GCD(363, 820) = 297660 / 297660

GCD(363, 820) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 319

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

LCM(1, 319) = 319

GCD(1, 319) = ( 1 x 319 ) / 319

GCD(1, 319) = 319 / 319

GCD(1, 319) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 131

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

LCM(1, 131) = 131

GCD(1, 131) = ( 1 x 131 ) / 131

GCD(1, 131) = 131 / 131

GCD(1, 131) = 1

GCD of 363, 820, 319, 131 is 1

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1. What is the GCD of 363, 820, 319, 131?

GCD of 363, 820, 319, 131 is 1

2. Where do I get the detailed procedure to find GCD of 363, 820, 319, 131?

You can find a detailed procedure to find GCD of 363, 820, 319, 131 on our page.

3. How to find GCD of 363, 820, 319, 131 on a calculator?

You can find the GCD of 363, 820, 319, 131 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.