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, 501, 28, 867 i.e. 1 largest integer that divides all the numbers equally.
GCD of 821, 501, 28, 867 is 1
GCD(821, 501, 28, 867) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 821, 501, 28, 867 is 1
GCD(821, 501, 28, 867) = 1
Given Input numbers are 821, 501, 28, 867
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 501
List of positive integer divisors of 501 that divides 501 without a remainder.
1, 3, 167, 501
Divisors of 28
List of positive integer divisors of 28 that divides 28 without a remainder.
1, 2, 4, 7, 14, 28
Divisors of 867
List of positive integer divisors of 867 that divides 867 without a remainder.
1, 3, 17, 51, 289, 867
Greatest Common Divisior
We found the divisors of 821, 501, 28, 867 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 821, 501, 28, 867 is 1.
Therefore, GCD of numbers 821, 501, 28, 867 is 1
Given Input Data is 821, 501, 28, 867
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 821 is 821
Prime Factorization of 501 is 3 x 167
Prime Factorization of 28 is 2 x 2 x 7
Prime Factorization of 867 is 3 x 17 x 17
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, 501) = 411321
GCD(821, 501) = ( 821 x 501 ) / 411321
GCD(821, 501) = 411321 / 411321
GCD(821, 501) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 28
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 28) = 28
GCD(1, 28) = ( 1 x 28 ) / 28
GCD(1, 28) = 28 / 28
GCD(1, 28) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 867
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 867) = 867
GCD(1, 867) = ( 1 x 867 ) / 867
GCD(1, 867) = 867 / 867
GCD(1, 867) = 1
GCD of 821, 501, 28, 867 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 821, 501, 28, 867?
GCD of 821, 501, 28, 867 is 1
2. Where do I get the detailed procedure to find GCD of 821, 501, 28, 867?
You can find a detailed procedure to find GCD of 821, 501, 28, 867 on our page.
3. How to find GCD of 821, 501, 28, 867 on a calculator?
You can find the GCD of 821, 501, 28, 867 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.