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 821, 871, 442, 811 i.e. 1 largest integer that divides all the numbers equally.
GCD of 821, 871, 442, 811 is 1
GCD(821, 871, 442, 811) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 821, 871, 442, 811 is 1
GCD(821, 871, 442, 811) = 1
Given Input numbers are 821, 871, 442, 811
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 821
List of positive integer divisors of 821 that divides 821 without a remainder.
1, 821
Divisors of 871
List of positive integer divisors of 871 that divides 871 without a remainder.
1, 13, 67, 871
Divisors of 442
List of positive integer divisors of 442 that divides 442 without a remainder.
1, 2, 13, 17, 26, 34, 221, 442
Divisors of 811
List of positive integer divisors of 811 that divides 811 without a remainder.
1, 811
Greatest Common Divisior
We found the divisors of 821, 871, 442, 811 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 821, 871, 442, 811 is 1.
Therefore, GCD of numbers 821, 871, 442, 811 is 1
Given Input Data is 821, 871, 442, 811
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 821 is 821
Prime Factorization of 871 is 13 x 67
Prime Factorization of 442 is 2 x 13 x 17
Prime Factorization of 811 is 811
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(821, 871) = 715091
GCD(821, 871) = ( 821 x 871 ) / 715091
GCD(821, 871) = 715091 / 715091
GCD(821, 871) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 442
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 442) = 442
GCD(1, 442) = ( 1 x 442 ) / 442
GCD(1, 442) = 442 / 442
GCD(1, 442) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 811
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 811) = 811
GCD(1, 811) = ( 1 x 811 ) / 811
GCD(1, 811) = 811 / 811
GCD(1, 811) = 1
GCD of 821, 871, 442, 811 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 821, 871, 442, 811?
GCD of 821, 871, 442, 811 is 1
2. Where do I get the detailed procedure to find GCD of 821, 871, 442, 811?
You can find a detailed procedure to find GCD of 821, 871, 442, 811 on our page.
3. How to find GCD of 821, 871, 442, 811 on a calculator?
You can find the GCD of 821, 871, 442, 811 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.