GCD of 401, 321, 826, 567 Calculator

Given Input numbers are 401, 321, 826, 567

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

Divisors of 401

List of positive integer divisors of 401 that divides 401 without a remainder.

1, 401

Divisors of 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Divisors of 826

List of positive integer divisors of 826 that divides 826 without a remainder.

1, 2, 7, 14, 59, 118, 413, 826

Divisors of 567

List of positive integer divisors of 567 that divides 567 without a remainder.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

Greatest Common Divisior

We found the divisors of 401, 321, 826, 567 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 401, 321, 826, 567 is 1.

Therefore, GCD of numbers 401, 321, 826, 567 is 1

Given Input Data is 401, 321, 826, 567

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

Prime Factorization of 401 is 401

Prime Factorization of 321 is 3 x 107

Prime Factorization of 826 is 2 x 7 x 59

Prime Factorization of 567 is 3 x 3 x 3 x 3 x 7

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(401, 321) = 128721

GCD(401, 321) = ( 401 x 321 ) / 128721

GCD(401, 321) = 128721 / 128721

GCD(401, 321) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 826

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

LCM(1, 826) = 826

GCD(1, 826) = ( 1 x 826 ) / 826

GCD(1, 826) = 826 / 826

GCD(1, 826) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 567

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

LCM(1, 567) = 567

GCD(1, 567) = ( 1 x 567 ) / 567

GCD(1, 567) = 567 / 567

GCD(1, 567) = 1

GCD of 401, 321, 826, 567 is 1

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1. What is the GCD of 401, 321, 826, 567?

GCD of 401, 321, 826, 567 is 1

2. Where do I get the detailed procedure to find GCD of 401, 321, 826, 567?

You can find a detailed procedure to find GCD of 401, 321, 826, 567 on our page.

3. How to find GCD of 401, 321, 826, 567 on a calculator?

You can find the GCD of 401, 321, 826, 567 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.