GCD of 357, 961, 131, 589 Calculator

Given Input numbers are 357, 961, 131, 589

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

Divisors of 357

List of positive integer divisors of 357 that divides 357 without a remainder.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 961

List of positive integer divisors of 961 that divides 961 without a remainder.

1, 31, 961

Divisors of 131

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

1, 131

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 357, 961, 131, 589 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 357, 961, 131, 589 is 1.

Therefore, GCD of numbers 357, 961, 131, 589 is 1

Given Input Data is 357, 961, 131, 589

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

Prime Factorization of 357 is 3 x 7 x 17

Prime Factorization of 961 is 31 x 31

Prime Factorization of 131 is 131

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(357, 961) = 343077

GCD(357, 961) = ( 357 x 961 ) / 343077

GCD(357, 961) = 343077 / 343077

GCD(357, 961) = 1

Step2:

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

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 357, 961, 131, 589 is 1

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1. What is the GCD of 357, 961, 131, 589?

GCD of 357, 961, 131, 589 is 1

2. Where do I get the detailed procedure to find GCD of 357, 961, 131, 589?

You can find a detailed procedure to find GCD of 357, 961, 131, 589 on our page.

3. How to find GCD of 357, 961, 131, 589 on a calculator?

You can find the GCD of 357, 961, 131, 589 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.