GCD of 357, 819, 973, 774 Calculator

Given Input numbers are 357, 819, 973, 774

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

Divisors of 357

List of positive integer divisors of 357 that divides 357 without a remainder.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 819

List of positive integer divisors of 819 that divides 819 without a remainder.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

Divisors of 973

List of positive integer divisors of 973 that divides 973 without a remainder.

1, 7, 139, 973

Divisors of 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Greatest Common Divisior

We found the divisors of 357, 819, 973, 774 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 357, 819, 973, 774 is 1.

Therefore, GCD of numbers 357, 819, 973, 774 is 1

Given Input Data is 357, 819, 973, 774

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

Prime Factorization of 357 is 3 x 7 x 17

Prime Factorization of 819 is 3 x 3 x 7 x 13

Prime Factorization of 973 is 7 x 139

Prime Factorization of 774 is 2 x 3 x 3 x 43

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(357, 819) = 13923

GCD(357, 819) = ( 357 x 819 ) / 13923

GCD(357, 819) = 292383 / 13923

GCD(357, 819) = 21

Step2:

Here we consider the GCD from the above i.e. 21 as first number and the next as 973

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

LCM(21, 973) = 2919

GCD(21, 973) = ( 21 x 973 ) / 2919

GCD(21, 973) = 20433 / 2919

GCD(21, 973) = 7

Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 774

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

LCM(7, 774) = 5418

GCD(7, 774) = ( 7 x 774 ) / 5418

GCD(7, 774) = 5418 / 5418

GCD(7, 774) = 1

GCD of 357, 819, 973, 774 is 1

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1. What is the GCD of 357, 819, 973, 774?

GCD of 357, 819, 973, 774 is 1

2. Where do I get the detailed procedure to find GCD of 357, 819, 973, 774?

You can find a detailed procedure to find GCD of 357, 819, 973, 774 on our page.

3. How to find GCD of 357, 819, 973, 774 on a calculator?

You can find the GCD of 357, 819, 973, 774 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.