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, 427, 42, 586 i.e. 1 largest integer that divides all the numbers equally.
GCD of 871, 427, 42, 586 is 1
GCD(871, 427, 42, 586) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 871, 427, 42, 586 is 1
GCD(871, 427, 42, 586) = 1
Given Input numbers are 871, 427, 42, 586
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 427
List of positive integer divisors of 427 that divides 427 without a remainder.
1, 7, 61, 427
Divisors of 42
List of positive integer divisors of 42 that divides 42 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42
Divisors of 586
List of positive integer divisors of 586 that divides 586 without a remainder.
1, 2, 293, 586
Greatest Common Divisior
We found the divisors of 871, 427, 42, 586 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 871, 427, 42, 586 is 1.
Therefore, GCD of numbers 871, 427, 42, 586 is 1
Given Input Data is 871, 427, 42, 586
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 871 is 13 x 67
Prime Factorization of 427 is 7 x 61
Prime Factorization of 42 is 2 x 3 x 7
Prime Factorization of 586 is 2 x 293
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, 427) = 371917
GCD(871, 427) = ( 871 x 427 ) / 371917
GCD(871, 427) = 371917 / 371917
GCD(871, 427) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 42
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 42) = 42
GCD(1, 42) = ( 1 x 42 ) / 42
GCD(1, 42) = 42 / 42
GCD(1, 42) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 586
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 586) = 586
GCD(1, 586) = ( 1 x 586 ) / 586
GCD(1, 586) = 586 / 586
GCD(1, 586) = 1
GCD of 871, 427, 42, 586 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 871, 427, 42, 586?
GCD of 871, 427, 42, 586 is 1
2. Where do I get the detailed procedure to find GCD of 871, 427, 42, 586?
You can find a detailed procedure to find GCD of 871, 427, 42, 586 on our page.
3. How to find GCD of 871, 427, 42, 586 on a calculator?
You can find the GCD of 871, 427, 42, 586 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.