GCD of 774, 468, 355, 935 Calculator

Given Input numbers are 774, 468, 355, 935

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 468

List of positive integer divisors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Divisors of 935

List of positive integer divisors of 935 that divides 935 without a remainder.

1, 5, 11, 17, 55, 85, 187, 935

Greatest Common Divisior

We found the divisors of 774, 468, 355, 935 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 774, 468, 355, 935 is 1.

Therefore, GCD of numbers 774, 468, 355, 935 is 1

Given Input Data is 774, 468, 355, 935

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 468 is 2 x 2 x 3 x 3 x 13

Prime Factorization of 355 is 5 x 71

Prime Factorization of 935 is 5 x 11 x 17

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, 468) = 20124

GCD(774, 468) = ( 774 x 468 ) / 20124

GCD(774, 468) = 362232 / 20124

GCD(774, 468) = 18

Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 355

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

LCM(18, 355) = 6390

GCD(18, 355) = ( 18 x 355 ) / 6390

GCD(18, 355) = 6390 / 6390

GCD(18, 355) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 935

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

LCM(1, 935) = 935

GCD(1, 935) = ( 1 x 935 ) / 935

GCD(1, 935) = 935 / 935

GCD(1, 935) = 1

GCD of 774, 468, 355, 935 is 1

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1. What is the GCD of 774, 468, 355, 935?

GCD of 774, 468, 355, 935 is 1

2. Where do I get the detailed procedure to find GCD of 774, 468, 355, 935?

You can find a detailed procedure to find GCD of 774, 468, 355, 935 on our page.

3. How to find GCD of 774, 468, 355, 935 on a calculator?

You can find the GCD of 774, 468, 355, 935 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.