GCD of 604, 538, 845, 686 Calculator

Given Input numbers are 604, 538, 845, 686

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

Divisors of 604

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

1, 2, 4, 151, 302, 604

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Divisors of 845

List of positive integer divisors of 845 that divides 845 without a remainder.

1, 5, 13, 65, 169, 845

Divisors of 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Greatest Common Divisior

We found the divisors of 604, 538, 845, 686 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 604, 538, 845, 686 is 1.

Therefore, GCD of numbers 604, 538, 845, 686 is 1

Given Input Data is 604, 538, 845, 686

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

Prime Factorization of 604 is 2 x 2 x 151

Prime Factorization of 538 is 2 x 269

Prime Factorization of 845 is 5 x 13 x 13

Prime Factorization of 686 is 2 x 7 x 7 x 7

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(604, 538) = 162476

GCD(604, 538) = ( 604 x 538 ) / 162476

GCD(604, 538) = 324952 / 162476

GCD(604, 538) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 845

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

LCM(2, 845) = 1690

GCD(2, 845) = ( 2 x 845 ) / 1690

GCD(2, 845) = 1690 / 1690

GCD(2, 845) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 686

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

LCM(1, 686) = 686

GCD(1, 686) = ( 1 x 686 ) / 686

GCD(1, 686) = 686 / 686

GCD(1, 686) = 1

GCD of 604, 538, 845, 686 is 1

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1. What is the GCD of 604, 538, 845, 686?

GCD of 604, 538, 845, 686 is 1

2. Where do I get the detailed procedure to find GCD of 604, 538, 845, 686?

You can find a detailed procedure to find GCD of 604, 538, 845, 686 on our page.

3. How to find GCD of 604, 538, 845, 686 on a calculator?

You can find the GCD of 604, 538, 845, 686 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.