GCD of 357, 868, 405, 584 Calculator

Given Input numbers are 357, 868, 405, 584

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 868

List of positive integer divisors of 868 that divides 868 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

Divisors of 405

List of positive integer divisors of 405 that divides 405 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 135, 405

Divisors of 584

List of positive integer divisors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

Greatest Common Divisior

We found the divisors of 357, 868, 405, 584 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 357, 868, 405, 584 is 1.

Therefore, GCD of numbers 357, 868, 405, 584 is 1

Given Input Data is 357, 868, 405, 584

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 868 is 2 x 2 x 7 x 31

Prime Factorization of 405 is 3 x 3 x 3 x 3 x 5

Prime Factorization of 584 is 2 x 2 x 2 x 73

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, 868) = 44268

GCD(357, 868) = ( 357 x 868 ) / 44268

GCD(357, 868) = 309876 / 44268

GCD(357, 868) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 405

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

LCM(7, 405) = 2835

GCD(7, 405) = ( 7 x 405 ) / 2835

GCD(7, 405) = 2835 / 2835

GCD(7, 405) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 584

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

LCM(1, 584) = 584

GCD(1, 584) = ( 1 x 584 ) / 584

GCD(1, 584) = 584 / 584

GCD(1, 584) = 1

GCD of 357, 868, 405, 584 is 1

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1. What is the GCD of 357, 868, 405, 584?

GCD of 357, 868, 405, 584 is 1

2. Where do I get the detailed procedure to find GCD of 357, 868, 405, 584?

You can find a detailed procedure to find GCD of 357, 868, 405, 584 on our page.

3. How to find GCD of 357, 868, 405, 584 on a calculator?

You can find the GCD of 357, 868, 405, 584 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.