GCD of 322, 352, 629, 564 Calculator

Given Input numbers are 322, 352, 629, 564

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

Divisors of 322

List of positive integer divisors of 322 that divides 322 without a remainder.

1, 2, 7, 14, 23, 46, 161, 322

Divisors of 352

List of positive integer divisors of 352 that divides 352 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 629

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

1, 17, 37, 629

Divisors of 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Greatest Common Divisior

We found the divisors of 322, 352, 629, 564 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 322, 352, 629, 564 is 1.

Therefore, GCD of numbers 322, 352, 629, 564 is 1

Given Input Data is 322, 352, 629, 564

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

Prime Factorization of 322 is 2 x 7 x 23

Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11

Prime Factorization of 629 is 17 x 37

Prime Factorization of 564 is 2 x 2 x 3 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(322, 352) = 56672

GCD(322, 352) = ( 322 x 352 ) / 56672

GCD(322, 352) = 113344 / 56672

GCD(322, 352) = 2

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 564

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

LCM(1, 564) = 564

GCD(1, 564) = ( 1 x 564 ) / 564

GCD(1, 564) = 564 / 564

GCD(1, 564) = 1

GCD of 322, 352, 629, 564 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 787, 739, 889, 145
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• GCD of 190, 264, 555, 692

1. What is the GCD of 322, 352, 629, 564?

GCD of 322, 352, 629, 564 is 1

2. Where do I get the detailed procedure to find GCD of 322, 352, 629, 564?

You can find a detailed procedure to find GCD of 322, 352, 629, 564 on our page.

3. How to find GCD of 322, 352, 629, 564 on a calculator?

You can find the GCD of 322, 352, 629, 564 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.