GCD of 676, 185, 596, 683 Calculator

Given Input numbers are 676, 185, 596, 683

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

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 185

List of positive integer divisors of 185 that divides 185 without a remainder.

1, 5, 37, 185

Divisors of 596

List of positive integer divisors of 596 that divides 596 without a remainder.

1, 2, 4, 149, 298, 596

Divisors of 683

List of positive integer divisors of 683 that divides 683 without a remainder.

1, 683

Greatest Common Divisior

We found the divisors of 676, 185, 596, 683 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 676, 185, 596, 683 is 1.

Therefore, GCD of numbers 676, 185, 596, 683 is 1

Given Input Data is 676, 185, 596, 683

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

Prime Factorization of 676 is 2 x 2 x 13 x 13

Prime Factorization of 185 is 5 x 37

Prime Factorization of 596 is 2 x 2 x 149

Prime Factorization of 683 is 683

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(676, 185) = 125060

GCD(676, 185) = ( 676 x 185 ) / 125060

GCD(676, 185) = 125060 / 125060

GCD(676, 185) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 596

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

LCM(1, 596) = 596

GCD(1, 596) = ( 1 x 596 ) / 596

GCD(1, 596) = 596 / 596

GCD(1, 596) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 683

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

LCM(1, 683) = 683

GCD(1, 683) = ( 1 x 683 ) / 683

GCD(1, 683) = 683 / 683

GCD(1, 683) = 1

GCD of 676, 185, 596, 683 is 1

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1. What is the GCD of 676, 185, 596, 683?

GCD of 676, 185, 596, 683 is 1

2. Where do I get the detailed procedure to find GCD of 676, 185, 596, 683?

You can find a detailed procedure to find GCD of 676, 185, 596, 683 on our page.

3. How to find GCD of 676, 185, 596, 683 on a calculator?

You can find the GCD of 676, 185, 596, 683 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.