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, 257, 57, 861 i.e. 1 largest integer that divides all the numbers equally.
GCD of 821, 257, 57, 861 is 1
GCD(821, 257, 57, 861) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 821, 257, 57, 861 is 1
GCD(821, 257, 57, 861) = 1
Given Input numbers are 821, 257, 57, 861
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 257
List of positive integer divisors of 257 that divides 257 without a remainder.
1, 257
Divisors of 57
List of positive integer divisors of 57 that divides 57 without a remainder.
1, 3, 19, 57
Divisors of 861
List of positive integer divisors of 861 that divides 861 without a remainder.
1, 3, 7, 21, 41, 123, 287, 861
Greatest Common Divisior
We found the divisors of 821, 257, 57, 861 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 821, 257, 57, 861 is 1.
Therefore, GCD of numbers 821, 257, 57, 861 is 1
Given Input Data is 821, 257, 57, 861
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 821 is 821
Prime Factorization of 257 is 257
Prime Factorization of 57 is 3 x 19
Prime Factorization of 861 is 3 x 7 x 41
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, 257) = 210997
GCD(821, 257) = ( 821 x 257 ) / 210997
GCD(821, 257) = 210997 / 210997
GCD(821, 257) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 57
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 57) = 57
GCD(1, 57) = ( 1 x 57 ) / 57
GCD(1, 57) = 57 / 57
GCD(1, 57) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 861
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 861) = 861
GCD(1, 861) = ( 1 x 861 ) / 861
GCD(1, 861) = 861 / 861
GCD(1, 861) = 1
GCD of 821, 257, 57, 861 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 821, 257, 57, 861?
GCD of 821, 257, 57, 861 is 1
2. Where do I get the detailed procedure to find GCD of 821, 257, 57, 861?
You can find a detailed procedure to find GCD of 821, 257, 57, 861 on our page.
3. How to find GCD of 821, 257, 57, 861 on a calculator?
You can find the GCD of 821, 257, 57, 861 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.