GCD of 864, 326, 194, 629 Calculator

Given Input numbers are 864, 326, 194, 629

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

Divisors of 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 326

List of positive integer divisors of 326 that divides 326 without a remainder.

1, 2, 163, 326

Divisors of 194

List of positive integer divisors of 194 that divides 194 without a remainder.

1, 2, 97, 194

Divisors of 629

List of positive integer divisors of 629 that divides 629 without a remainder.

1, 17, 37, 629

Greatest Common Divisior

We found the divisors of 864, 326, 194, 629 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 864, 326, 194, 629 is 1.

Therefore, GCD of numbers 864, 326, 194, 629 is 1

Given Input Data is 864, 326, 194, 629

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

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 326 is 2 x 163

Prime Factorization of 194 is 2 x 97

Prime Factorization of 629 is 17 x 37

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(864, 326) = 140832

GCD(864, 326) = ( 864 x 326 ) / 140832

GCD(864, 326) = 281664 / 140832

GCD(864, 326) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 194

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

LCM(2, 194) = 194

GCD(2, 194) = ( 2 x 194 ) / 194

GCD(2, 194) = 388 / 194

GCD(2, 194) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 629

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

LCM(2, 629) = 1258

GCD(2, 629) = ( 2 x 629 ) / 1258

GCD(2, 629) = 1258 / 1258

GCD(2, 629) = 1

GCD of 864, 326, 194, 629 is 1

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1. What is the GCD of 864, 326, 194, 629?

GCD of 864, 326, 194, 629 is 1

2. Where do I get the detailed procedure to find GCD of 864, 326, 194, 629?

You can find a detailed procedure to find GCD of 864, 326, 194, 629 on our page.

3. How to find GCD of 864, 326, 194, 629 on a calculator?

You can find the GCD of 864, 326, 194, 629 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.