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 560, 204, 183, 428 i.e. 1 largest integer that divides all the numbers equally.
GCD of 560, 204, 183, 428 is 1
GCD(560, 204, 183, 428) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 560, 204, 183, 428 is 1
GCD(560, 204, 183, 428) = 1
Given Input numbers are 560, 204, 183, 428
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 560
List of positive integer divisors of 560 that divides 560 without a remainder.
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
Divisors of 204
List of positive integer divisors of 204 that divides 204 without a remainder.
1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
Divisors of 183
List of positive integer divisors of 183 that divides 183 without a remainder.
1, 3, 61, 183
Divisors of 428
List of positive integer divisors of 428 that divides 428 without a remainder.
1, 2, 4, 107, 214, 428
Greatest Common Divisior
We found the divisors of 560, 204, 183, 428 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 560, 204, 183, 428 is 1.
Therefore, GCD of numbers 560, 204, 183, 428 is 1
Given Input Data is 560, 204, 183, 428
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 560 is 2 x 2 x 2 x 2 x 5 x 7
Prime Factorization of 204 is 2 x 2 x 3 x 17
Prime Factorization of 183 is 3 x 61
Prime Factorization of 428 is 2 x 2 x 107
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(560, 204) = 28560
GCD(560, 204) = ( 560 x 204 ) / 28560
GCD(560, 204) = 114240 / 28560
GCD(560, 204) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 183
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 183) = 732
GCD(4, 183) = ( 4 x 183 ) / 732
GCD(4, 183) = 732 / 732
GCD(4, 183) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 428
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 428) = 428
GCD(1, 428) = ( 1 x 428 ) / 428
GCD(1, 428) = 428 / 428
GCD(1, 428) = 1
GCD of 560, 204, 183, 428 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 560, 204, 183, 428?
GCD of 560, 204, 183, 428 is 1
2. Where do I get the detailed procedure to find GCD of 560, 204, 183, 428?
You can find a detailed procedure to find GCD of 560, 204, 183, 428 on our page.
3. How to find GCD of 560, 204, 183, 428 on a calculator?
You can find the GCD of 560, 204, 183, 428 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.