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 827, 981, 86, 876 i.e. 1 largest integer that divides all the numbers equally.
GCD of 827, 981, 86, 876 is 1
GCD(827, 981, 86, 876) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 827, 981, 86, 876 is 1
GCD(827, 981, 86, 876) = 1
Given Input numbers are 827, 981, 86, 876
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 827
List of positive integer divisors of 827 that divides 827 without a remainder.
1, 827
Divisors of 981
List of positive integer divisors of 981 that divides 981 without a remainder.
1, 3, 9, 109, 327, 981
Divisors of 86
List of positive integer divisors of 86 that divides 86 without a remainder.
1, 2, 43, 86
Divisors of 876
List of positive integer divisors of 876 that divides 876 without a remainder.
1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
Greatest Common Divisior
We found the divisors of 827, 981, 86, 876 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 827, 981, 86, 876 is 1.
Therefore, GCD of numbers 827, 981, 86, 876 is 1
Given Input Data is 827, 981, 86, 876
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 827 is 827
Prime Factorization of 981 is 3 x 3 x 109
Prime Factorization of 86 is 2 x 43
Prime Factorization of 876 is 2 x 2 x 3 x 73
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(827, 981) = 811287
GCD(827, 981) = ( 827 x 981 ) / 811287
GCD(827, 981) = 811287 / 811287
GCD(827, 981) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 86
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 86) = 86
GCD(1, 86) = ( 1 x 86 ) / 86
GCD(1, 86) = 86 / 86
GCD(1, 86) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 876
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 876) = 876
GCD(1, 876) = ( 1 x 876 ) / 876
GCD(1, 876) = 876 / 876
GCD(1, 876) = 1
GCD of 827, 981, 86, 876 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 827, 981, 86, 876?
GCD of 827, 981, 86, 876 is 1
2. Where do I get the detailed procedure to find GCD of 827, 981, 86, 876?
You can find a detailed procedure to find GCD of 827, 981, 86, 876 on our page.
3. How to find GCD of 827, 981, 86, 876 on a calculator?
You can find the GCD of 827, 981, 86, 876 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.