GCD of 788, 710, 76, 517 Calculator

Given Input numbers are 788, 710, 76, 517

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

Divisors of 788

List of positive integer divisors of 788 that divides 788 without a remainder.

1, 2, 4, 197, 394, 788

Divisors of 710

List of positive integer divisors of 710 that divides 710 without a remainder.

1, 2, 5, 10, 71, 142, 355, 710

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 517

List of positive integer divisors of 517 that divides 517 without a remainder.

1, 11, 47, 517

Greatest Common Divisior

We found the divisors of 788, 710, 76, 517 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 788, 710, 76, 517 is 1.

Therefore, GCD of numbers 788, 710, 76, 517 is 1

Given Input Data is 788, 710, 76, 517

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

Prime Factorization of 788 is 2 x 2 x 197

Prime Factorization of 710 is 2 x 5 x 71

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 517 is 11 x 47

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(788, 710) = 279740

GCD(788, 710) = ( 788 x 710 ) / 279740

GCD(788, 710) = 559480 / 279740

GCD(788, 710) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 76

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

LCM(2, 76) = 76

GCD(2, 76) = ( 2 x 76 ) / 76

GCD(2, 76) = 152 / 76

GCD(2, 76) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 517

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

LCM(2, 517) = 1034

GCD(2, 517) = ( 2 x 517 ) / 1034

GCD(2, 517) = 1034 / 1034

GCD(2, 517) = 1

GCD of 788, 710, 76, 517 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 635, 117, 16, 132
• GCD of 398, 397, 21, 870
• GCD of 811, 348, 52, 656
• GCD of 797, 635, 88, 926
• GCD of 865, 437, 18, 812

1. What is the GCD of 788, 710, 76, 517?

GCD of 788, 710, 76, 517 is 1

2. Where do I get the detailed procedure to find GCD of 788, 710, 76, 517?

You can find a detailed procedure to find GCD of 788, 710, 76, 517 on our page.

3. How to find GCD of 788, 710, 76, 517 on a calculator?

You can find the GCD of 788, 710, 76, 517 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.