Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 401, 321, 826, 567 i.e. 1 largest integer that divides all the numbers equally.
GCD of 401, 321, 826, 567 is 1
GCD(401, 321, 826, 567) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 401, 321, 826, 567 is 1
GCD(401, 321, 826, 567) = 1
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
Here are some samples of GCD of Numbers calculations.
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.