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 571, 996, 988, 774 i.e. 1 largest integer that divides all the numbers equally.
GCD of 571, 996, 988, 774 is 1
GCD(571, 996, 988, 774) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 571, 996, 988, 774 is 1
GCD(571, 996, 988, 774) = 1
Given Input numbers are 571, 996, 988, 774
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 571
List of positive integer divisors of 571 that divides 571 without a remainder.
1, 571
Divisors of 996
List of positive integer divisors of 996 that divides 996 without a remainder.
1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
Divisors of 988
List of positive integer divisors of 988 that divides 988 without a remainder.
1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
Divisors of 774
List of positive integer divisors of 774 that divides 774 without a remainder.
1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
Greatest Common Divisior
We found the divisors of 571, 996, 988, 774 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 571, 996, 988, 774 is 1.
Therefore, GCD of numbers 571, 996, 988, 774 is 1
Given Input Data is 571, 996, 988, 774
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 571 is 571
Prime Factorization of 996 is 2 x 2 x 3 x 83
Prime Factorization of 988 is 2 x 2 x 13 x 19
Prime Factorization of 774 is 2 x 3 x 3 x 43
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(571, 996) = 568716
GCD(571, 996) = ( 571 x 996 ) / 568716
GCD(571, 996) = 568716 / 568716
GCD(571, 996) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 988
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 988) = 988
GCD(1, 988) = ( 1 x 988 ) / 988
GCD(1, 988) = 988 / 988
GCD(1, 988) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 774
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 774) = 774
GCD(1, 774) = ( 1 x 774 ) / 774
GCD(1, 774) = 774 / 774
GCD(1, 774) = 1
GCD of 571, 996, 988, 774 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 571, 996, 988, 774?
GCD of 571, 996, 988, 774 is 1
2. Where do I get the detailed procedure to find GCD of 571, 996, 988, 774?
You can find a detailed procedure to find GCD of 571, 996, 988, 774 on our page.
3. How to find GCD of 571, 996, 988, 774 on a calculator?
You can find the GCD of 571, 996, 988, 774 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.