GCD of 769, 506, 19, 696 Calculator

Given Input numbers are 769, 506, 19, 696

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

Divisors of 769

List of positive integer divisors of 769 that divides 769 without a remainder.

1, 769

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 19

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

1, 19

Divisors of 696

List of positive integer divisors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Greatest Common Divisior

We found the divisors of 769, 506, 19, 696 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 769, 506, 19, 696 is 1.

Therefore, GCD of numbers 769, 506, 19, 696 is 1

Given Input Data is 769, 506, 19, 696

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

Prime Factorization of 769 is 769

Prime Factorization of 506 is 2 x 11 x 23

Prime Factorization of 19 is 19

Prime Factorization of 696 is 2 x 2 x 2 x 3 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(769, 506) = 389114

GCD(769, 506) = ( 769 x 506 ) / 389114

GCD(769, 506) = 389114 / 389114

GCD(769, 506) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 19

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

LCM(1, 19) = 19

GCD(1, 19) = ( 1 x 19 ) / 19

GCD(1, 19) = 19 / 19

GCD(1, 19) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 696

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

LCM(1, 696) = 696

GCD(1, 696) = ( 1 x 696 ) / 696

GCD(1, 696) = 696 / 696

GCD(1, 696) = 1

GCD of 769, 506, 19, 696 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 136, 702, 51, 905
• GCD of 618, 192, 54, 512
• GCD of 796, 266, 69, 438
• GCD of 983, 607, 75, 709
• GCD of 479, 355, 23, 577

1. What is the GCD of 769, 506, 19, 696?

GCD of 769, 506, 19, 696 is 1

2. Where do I get the detailed procedure to find GCD of 769, 506, 19, 696?

You can find a detailed procedure to find GCD of 769, 506, 19, 696 on our page.

3. How to find GCD of 769, 506, 19, 696 on a calculator?

You can find the GCD of 769, 506, 19, 696 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.