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 834, 676, 828, 243 i.e. 1 largest integer that divides all the numbers equally.
GCD of 834, 676, 828, 243 is 1
GCD(834, 676, 828, 243) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 834, 676, 828, 243 is 1
GCD(834, 676, 828, 243) = 1
Given Input numbers are 834, 676, 828, 243
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 834
List of positive integer divisors of 834 that divides 834 without a remainder.
1, 2, 3, 6, 139, 278, 417, 834
Divisors of 676
List of positive integer divisors of 676 that divides 676 without a remainder.
1, 2, 4, 13, 26, 52, 169, 338, 676
Divisors of 828
List of positive integer divisors of 828 that divides 828 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
Divisors of 243
List of positive integer divisors of 243 that divides 243 without a remainder.
1, 3, 9, 27, 81, 243
Greatest Common Divisior
We found the divisors of 834, 676, 828, 243 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 834, 676, 828, 243 is 1.
Therefore, GCD of numbers 834, 676, 828, 243 is 1
Given Input Data is 834, 676, 828, 243
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 834 is 2 x 3 x 139
Prime Factorization of 676 is 2 x 2 x 13 x 13
Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23
Prime Factorization of 243 is 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(834, 676) = 281892
GCD(834, 676) = ( 834 x 676 ) / 281892
GCD(834, 676) = 563784 / 281892
GCD(834, 676) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 828
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 828) = 828
GCD(2, 828) = ( 2 x 828 ) / 828
GCD(2, 828) = 1656 / 828
GCD(2, 828) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 243
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 243) = 486
GCD(2, 243) = ( 2 x 243 ) / 486
GCD(2, 243) = 486 / 486
GCD(2, 243) = 1
GCD of 834, 676, 828, 243 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 834, 676, 828, 243?
GCD of 834, 676, 828, 243 is 1
2. Where do I get the detailed procedure to find GCD of 834, 676, 828, 243?
You can find a detailed procedure to find GCD of 834, 676, 828, 243 on our page.
3. How to find GCD of 834, 676, 828, 243 on a calculator?
You can find the GCD of 834, 676, 828, 243 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.