GCD of 774, 504, 634, 291 Calculator

Given Input numbers are 774, 504, 634, 291

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

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

Divisors of 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 634

List of positive integer divisors of 634 that divides 634 without a remainder.

1, 2, 317, 634

Divisors of 291

List of positive integer divisors of 291 that divides 291 without a remainder.

1, 3, 97, 291

Greatest Common Divisior

We found the divisors of 774, 504, 634, 291 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 774, 504, 634, 291 is 1.

Therefore, GCD of numbers 774, 504, 634, 291 is 1

Given Input Data is 774, 504, 634, 291

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

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

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

Prime Factorization of 634 is 2 x 317

Prime Factorization of 291 is 3 x 97

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(774, 504) = 21672

GCD(774, 504) = ( 774 x 504 ) / 21672

GCD(774, 504) = 390096 / 21672

GCD(774, 504) = 18

Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 634

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

LCM(18, 634) = 5706

GCD(18, 634) = ( 18 x 634 ) / 5706

GCD(18, 634) = 11412 / 5706

GCD(18, 634) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 291

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

LCM(2, 291) = 582

GCD(2, 291) = ( 2 x 291 ) / 582

GCD(2, 291) = 582 / 582

GCD(2, 291) = 1

GCD of 774, 504, 634, 291 is 1

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1. What is the GCD of 774, 504, 634, 291?

GCD of 774, 504, 634, 291 is 1

2. Where do I get the detailed procedure to find GCD of 774, 504, 634, 291?

You can find a detailed procedure to find GCD of 774, 504, 634, 291 on our page.

3. How to find GCD of 774, 504, 634, 291 on a calculator?

You can find the GCD of 774, 504, 634, 291 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.