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 871, 407, 569, 689 i.e. 1 largest integer that divides all the numbers equally.
GCD of 871, 407, 569, 689 is 1
GCD(871, 407, 569, 689) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 871, 407, 569, 689 is 1
GCD(871, 407, 569, 689) = 1
Given Input numbers are 871, 407, 569, 689
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 871
List of positive integer divisors of 871 that divides 871 without a remainder.
1, 13, 67, 871
Divisors of 407
List of positive integer divisors of 407 that divides 407 without a remainder.
1, 11, 37, 407
Divisors of 569
List of positive integer divisors of 569 that divides 569 without a remainder.
1, 569
Divisors of 689
List of positive integer divisors of 689 that divides 689 without a remainder.
1, 13, 53, 689
Greatest Common Divisior
We found the divisors of 871, 407, 569, 689 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 871, 407, 569, 689 is 1.
Therefore, GCD of numbers 871, 407, 569, 689 is 1
Given Input Data is 871, 407, 569, 689
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 871 is 13 x 67
Prime Factorization of 407 is 11 x 37
Prime Factorization of 569 is 569
Prime Factorization of 689 is 13 x 53
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(871, 407) = 354497
GCD(871, 407) = ( 871 x 407 ) / 354497
GCD(871, 407) = 354497 / 354497
GCD(871, 407) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 569
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 569) = 569
GCD(1, 569) = ( 1 x 569 ) / 569
GCD(1, 569) = 569 / 569
GCD(1, 569) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 689
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 689) = 689
GCD(1, 689) = ( 1 x 689 ) / 689
GCD(1, 689) = 689 / 689
GCD(1, 689) = 1
GCD of 871, 407, 569, 689 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 871, 407, 569, 689?
GCD of 871, 407, 569, 689 is 1
2. Where do I get the detailed procedure to find GCD of 871, 407, 569, 689?
You can find a detailed procedure to find GCD of 871, 407, 569, 689 on our page.
3. How to find GCD of 871, 407, 569, 689 on a calculator?
You can find the GCD of 871, 407, 569, 689 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.