GCD of 596, 919, 313, 580 Calculator

Given Input numbers are 596, 919, 313, 580

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

Divisors of 596

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

1, 2, 4, 149, 298, 596

Divisors of 919

List of positive integer divisors of 919 that divides 919 without a remainder.

1, 919

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Divisors of 580

List of positive integer divisors of 580 that divides 580 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Greatest Common Divisior

We found the divisors of 596, 919, 313, 580 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 596, 919, 313, 580 is 1.

Therefore, GCD of numbers 596, 919, 313, 580 is 1

Given Input Data is 596, 919, 313, 580

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

Prime Factorization of 596 is 2 x 2 x 149

Prime Factorization of 919 is 919

Prime Factorization of 313 is 313

Prime Factorization of 580 is 2 x 2 x 5 x 29

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(596, 919) = 547724

GCD(596, 919) = ( 596 x 919 ) / 547724

GCD(596, 919) = 547724 / 547724

GCD(596, 919) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 313

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

LCM(1, 313) = 313

GCD(1, 313) = ( 1 x 313 ) / 313

GCD(1, 313) = 313 / 313

GCD(1, 313) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 580

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

LCM(1, 580) = 580

GCD(1, 580) = ( 1 x 580 ) / 580

GCD(1, 580) = 580 / 580

GCD(1, 580) = 1

GCD of 596, 919, 313, 580 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 387, 370, 970, 492
• GCD of 431, 110, 472, 778
• GCD of 920, 559, 457, 960
• GCD of 937, 949, 945, 890
• GCD of 919, 286, 869, 210

1. What is the GCD of 596, 919, 313, 580?

GCD of 596, 919, 313, 580 is 1

2. Where do I get the detailed procedure to find GCD of 596, 919, 313, 580?

You can find a detailed procedure to find GCD of 596, 919, 313, 580 on our page.

3. How to find GCD of 596, 919, 313, 580 on a calculator?

You can find the GCD of 596, 919, 313, 580 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.