GCD of 357, 594, 724, 604 Calculator

Given Input numbers are 357, 594, 724, 604

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 594

List of positive integer divisors of 594 that divides 594 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Divisors of 604

List of positive integer divisors of 604 that divides 604 without a remainder.

1, 2, 4, 151, 302, 604

Greatest Common Divisior

We found the divisors of 357, 594, 724, 604 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 357, 594, 724, 604 is 1.

Therefore, GCD of numbers 357, 594, 724, 604 is 1

Given Input Data is 357, 594, 724, 604

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 594 is 2 x 3 x 3 x 3 x 11

Prime Factorization of 724 is 2 x 2 x 181

Prime Factorization of 604 is 2 x 2 x 151

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, 594) = 70686

GCD(357, 594) = ( 357 x 594 ) / 70686

GCD(357, 594) = 212058 / 70686

GCD(357, 594) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 724

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

LCM(3, 724) = 2172

GCD(3, 724) = ( 3 x 724 ) / 2172

GCD(3, 724) = 2172 / 2172

GCD(3, 724) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 604

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

LCM(1, 604) = 604

GCD(1, 604) = ( 1 x 604 ) / 604

GCD(1, 604) = 604 / 604

GCD(1, 604) = 1

GCD of 357, 594, 724, 604 is 1

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1. What is the GCD of 357, 594, 724, 604?

GCD of 357, 594, 724, 604 is 1

2. Where do I get the detailed procedure to find GCD of 357, 594, 724, 604?

You can find a detailed procedure to find GCD of 357, 594, 724, 604 on our page.

3. How to find GCD of 357, 594, 724, 604 on a calculator?

You can find the GCD of 357, 594, 724, 604 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.