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, 902, 854, 729 i.e. 1 largest integer that divides all the numbers equally.
GCD of 821, 902, 854, 729 is 1
GCD(821, 902, 854, 729) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 821, 902, 854, 729 is 1
GCD(821, 902, 854, 729) = 1
Given Input numbers are 821, 902, 854, 729
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 902
List of positive integer divisors of 902 that divides 902 without a remainder.
1, 2, 11, 22, 41, 82, 451, 902
Divisors of 854
List of positive integer divisors of 854 that divides 854 without a remainder.
1, 2, 7, 14, 61, 122, 427, 854
Divisors of 729
List of positive integer divisors of 729 that divides 729 without a remainder.
1, 3, 9, 27, 81, 243, 729
Greatest Common Divisior
We found the divisors of 821, 902, 854, 729 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 821, 902, 854, 729 is 1.
Therefore, GCD of numbers 821, 902, 854, 729 is 1
Given Input Data is 821, 902, 854, 729
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 821 is 821
Prime Factorization of 902 is 2 x 11 x 41
Prime Factorization of 854 is 2 x 7 x 61
Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3
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, 902) = 740542
GCD(821, 902) = ( 821 x 902 ) / 740542
GCD(821, 902) = 740542 / 740542
GCD(821, 902) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 854
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 854) = 854
GCD(1, 854) = ( 1 x 854 ) / 854
GCD(1, 854) = 854 / 854
GCD(1, 854) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 729
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 729) = 729
GCD(1, 729) = ( 1 x 729 ) / 729
GCD(1, 729) = 729 / 729
GCD(1, 729) = 1
GCD of 821, 902, 854, 729 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 821, 902, 854, 729?
GCD of 821, 902, 854, 729 is 1
2. Where do I get the detailed procedure to find GCD of 821, 902, 854, 729?
You can find a detailed procedure to find GCD of 821, 902, 854, 729 on our page.
3. How to find GCD of 821, 902, 854, 729 on a calculator?
You can find the GCD of 821, 902, 854, 729 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.