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 574, 906, 422, 201 i.e. 1 largest integer that divides all the numbers equally.
GCD of 574, 906, 422, 201 is 1
GCD(574, 906, 422, 201) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 574, 906, 422, 201 is 1
GCD(574, 906, 422, 201) = 1
Given Input numbers are 574, 906, 422, 201
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 574
List of positive integer divisors of 574 that divides 574 without a remainder.
1, 2, 7, 14, 41, 82, 287, 574
Divisors of 906
List of positive integer divisors of 906 that divides 906 without a remainder.
1, 2, 3, 6, 151, 302, 453, 906
Divisors of 422
List of positive integer divisors of 422 that divides 422 without a remainder.
1, 2, 211, 422
Divisors of 201
List of positive integer divisors of 201 that divides 201 without a remainder.
1, 3, 67, 201
Greatest Common Divisior
We found the divisors of 574, 906, 422, 201 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 574, 906, 422, 201 is 1.
Therefore, GCD of numbers 574, 906, 422, 201 is 1
Given Input Data is 574, 906, 422, 201
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 574 is 2 x 7 x 41
Prime Factorization of 906 is 2 x 3 x 151
Prime Factorization of 422 is 2 x 211
Prime Factorization of 201 is 3 x 67
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(574, 906) = 260022
GCD(574, 906) = ( 574 x 906 ) / 260022
GCD(574, 906) = 520044 / 260022
GCD(574, 906) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 422
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 422) = 422
GCD(2, 422) = ( 2 x 422 ) / 422
GCD(2, 422) = 844 / 422
GCD(2, 422) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 201
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 201) = 402
GCD(2, 201) = ( 2 x 201 ) / 402
GCD(2, 201) = 402 / 402
GCD(2, 201) = 1
GCD of 574, 906, 422, 201 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 574, 906, 422, 201?
GCD of 574, 906, 422, 201 is 1
2. Where do I get the detailed procedure to find GCD of 574, 906, 422, 201?
You can find a detailed procedure to find GCD of 574, 906, 422, 201 on our page.
3. How to find GCD of 574, 906, 422, 201 on a calculator?
You can find the GCD of 574, 906, 422, 201 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.