GCD of 798, 931, 21, 779 Calculator

Given Input numbers are 798, 931, 21, 779

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

Divisors of 798

List of positive integer divisors of 798 that divides 798 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Divisors of 931

List of positive integer divisors of 931 that divides 931 without a remainder.

1, 7, 19, 49, 133, 931

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 779

List of positive integer divisors of 779 that divides 779 without a remainder.

1, 19, 41, 779

Greatest Common Divisior

We found the divisors of 798, 931, 21, 779 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 798, 931, 21, 779 is 1.

Therefore, GCD of numbers 798, 931, 21, 779 is 1

Given Input Data is 798, 931, 21, 779

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

Prime Factorization of 798 is 2 x 3 x 7 x 19

Prime Factorization of 931 is 7 x 7 x 19

Prime Factorization of 21 is 3 x 7

Prime Factorization of 779 is 19 x 41

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(798, 931) = 5586

GCD(798, 931) = ( 798 x 931 ) / 5586

GCD(798, 931) = 742938 / 5586

GCD(798, 931) = 133

Step2:

Here we consider the GCD from the above i.e. 133 as first number and the next as 21

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

LCM(133, 21) = 399

GCD(133, 21) = ( 133 x 21 ) / 399

GCD(133, 21) = 2793 / 399

GCD(133, 21) = 7

Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 779

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

LCM(7, 779) = 5453

GCD(7, 779) = ( 7 x 779 ) / 5453

GCD(7, 779) = 5453 / 5453

GCD(7, 779) = 1

GCD of 798, 931, 21, 779 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 273, 944, 47, 908
• GCD of 706, 459, 60, 698
• GCD of 744, 689, 19, 139
• GCD of 181, 821, 42, 800
• GCD of 574, 866, 63, 292

1. What is the GCD of 798, 931, 21, 779?

GCD of 798, 931, 21, 779 is 1

2. Where do I get the detailed procedure to find GCD of 798, 931, 21, 779?

You can find a detailed procedure to find GCD of 798, 931, 21, 779 on our page.

3. How to find GCD of 798, 931, 21, 779 on a calculator?

You can find the GCD of 798, 931, 21, 779 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.