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, 560, 683, 844 i.e. 1 largest integer that divides all the numbers equally.
GCD of 574, 560, 683, 844 is 1
GCD(574, 560, 683, 844) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 574, 560, 683, 844 is 1
GCD(574, 560, 683, 844) = 1
Given Input numbers are 574, 560, 683, 844
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 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 683
List of positive integer divisors of 683 that divides 683 without a remainder.
1, 683
Divisors of 844
List of positive integer divisors of 844 that divides 844 without a remainder.
1, 2, 4, 211, 422, 844
Greatest Common Divisior
We found the divisors of 574, 560, 683, 844 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 574, 560, 683, 844 is 1.
Therefore, GCD of numbers 574, 560, 683, 844 is 1
Given Input Data is 574, 560, 683, 844
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 560 is 2 x 2 x 2 x 2 x 5 x 7
Prime Factorization of 683 is 683
Prime Factorization of 844 is 2 x 2 x 211
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, 560) = 22960
GCD(574, 560) = ( 574 x 560 ) / 22960
GCD(574, 560) = 321440 / 22960
GCD(574, 560) = 14
Step2:
Here we consider the GCD from the above i.e. 14 as first number and the next as 683
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(14, 683) = 9562
GCD(14, 683) = ( 14 x 683 ) / 9562
GCD(14, 683) = 9562 / 9562
GCD(14, 683) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 844
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 844) = 844
GCD(1, 844) = ( 1 x 844 ) / 844
GCD(1, 844) = 844 / 844
GCD(1, 844) = 1
GCD of 574, 560, 683, 844 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 574, 560, 683, 844?
GCD of 574, 560, 683, 844 is 1
2. Where do I get the detailed procedure to find GCD of 574, 560, 683, 844?
You can find a detailed procedure to find GCD of 574, 560, 683, 844 on our page.
3. How to find GCD of 574, 560, 683, 844 on a calculator?
You can find the GCD of 574, 560, 683, 844 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.