GCD of 580, 319, 352, 121 Calculator

Given Input numbers are 580, 319, 352, 121

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

Divisors of 580

List of positive integer divisors of 580 that divides 580 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 319

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

1, 11, 29, 319

Divisors of 352

List of positive integer divisors of 352 that divides 352 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 121

List of positive integer divisors of 121 that divides 121 without a remainder.

1, 11, 121

Greatest Common Divisior

We found the divisors of 580, 319, 352, 121 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 580, 319, 352, 121 is 1.

Therefore, GCD of numbers 580, 319, 352, 121 is 1

Given Input Data is 580, 319, 352, 121

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

Prime Factorization of 580 is 2 x 2 x 5 x 29

Prime Factorization of 319 is 11 x 29

Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 121 is 11 x 11

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(580, 319) = 6380

GCD(580, 319) = ( 580 x 319 ) / 6380

GCD(580, 319) = 185020 / 6380

GCD(580, 319) = 29

Step2:

Here we consider the GCD from the above i.e. 29 as first number and the next as 352

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

LCM(29, 352) = 10208

GCD(29, 352) = ( 29 x 352 ) / 10208

GCD(29, 352) = 10208 / 10208

GCD(29, 352) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 121

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

LCM(1, 121) = 121

GCD(1, 121) = ( 1 x 121 ) / 121

GCD(1, 121) = 121 / 121

GCD(1, 121) = 1

GCD of 580, 319, 352, 121 is 1

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1. What is the GCD of 580, 319, 352, 121?

GCD of 580, 319, 352, 121 is 1

2. Where do I get the detailed procedure to find GCD of 580, 319, 352, 121?

You can find a detailed procedure to find GCD of 580, 319, 352, 121 on our page.

3. How to find GCD of 580, 319, 352, 121 on a calculator?

You can find the GCD of 580, 319, 352, 121 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.