GCD of 774, 684, 54, 329 Calculator

Given Input numbers are 774, 684, 54, 329

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 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 329

List of positive integer divisors of 329 that divides 329 without a remainder.

1, 7, 47, 329

Greatest Common Divisior

We found the divisors of 774, 684, 54, 329 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 774, 684, 54, 329 is 1.

Therefore, GCD of numbers 774, 684, 54, 329 is 1

Given Input Data is 774, 684, 54, 329

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 684 is 2 x 2 x 3 x 3 x 19

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 329 is 7 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(774, 684) = 29412

GCD(774, 684) = ( 774 x 684 ) / 29412

GCD(774, 684) = 529416 / 29412

GCD(774, 684) = 18

Step2:

Here we consider the GCD from the above i.e. 18 as first number and the next as 54

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

LCM(18, 54) = 54

GCD(18, 54) = ( 18 x 54 ) / 54

GCD(18, 54) = 972 / 54

GCD(18, 54) = 18

Step3:

Here we consider the GCD from the above i.e. 18 as first number and the next as 329

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

LCM(18, 329) = 5922

GCD(18, 329) = ( 18 x 329 ) / 5922

GCD(18, 329) = 5922 / 5922

GCD(18, 329) = 1

GCD of 774, 684, 54, 329 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 447, 522, 41, 166
• GCD of 440, 861, 42, 481
• GCD of 973, 877, 84, 643
• GCD of 457, 745, 17, 302
• GCD of 342, 478, 89, 385

1. What is the GCD of 774, 684, 54, 329?

GCD of 774, 684, 54, 329 is 1

2. Where do I get the detailed procedure to find GCD of 774, 684, 54, 329?

You can find a detailed procedure to find GCD of 774, 684, 54, 329 on our page.

3. How to find GCD of 774, 684, 54, 329 on a calculator?

You can find the GCD of 774, 684, 54, 329 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.