GCD of 596, 700, 19, 331 Calculator

Given Input numbers are 596, 700, 19, 331

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 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 19

List of positive integer divisors of 19 that divides 19 without a remainder.

1, 19

Divisors of 331

List of positive integer divisors of 331 that divides 331 without a remainder.

1, 331

Greatest Common Divisior

We found the divisors of 596, 700, 19, 331 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 596, 700, 19, 331 is 1.

Therefore, GCD of numbers 596, 700, 19, 331 is 1

Given Input Data is 596, 700, 19, 331

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 700 is 2 x 2 x 5 x 5 x 7

Prime Factorization of 19 is 19

Prime Factorization of 331 is 331

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, 700) = 104300

GCD(596, 700) = ( 596 x 700 ) / 104300

GCD(596, 700) = 417200 / 104300

GCD(596, 700) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 19

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

LCM(4, 19) = 76

GCD(4, 19) = ( 4 x 19 ) / 76

GCD(4, 19) = 76 / 76

GCD(4, 19) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 331

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

LCM(1, 331) = 331

GCD(1, 331) = ( 1 x 331 ) / 331

GCD(1, 331) = 331 / 331

GCD(1, 331) = 1

GCD of 596, 700, 19, 331 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 410, 393, 15, 887
• GCD of 373, 162, 41, 202
• GCD of 193, 229, 36, 857
• GCD of 515, 732, 47, 799
• GCD of 812, 855, 16, 561

1. What is the GCD of 596, 700, 19, 331?

GCD of 596, 700, 19, 331 is 1

2. Where do I get the detailed procedure to find GCD of 596, 700, 19, 331?

You can find a detailed procedure to find GCD of 596, 700, 19, 331 on our page.

3. How to find GCD of 596, 700, 19, 331 on a calculator?

You can find the GCD of 596, 700, 19, 331 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.