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 324, 689, 842, 395 i.e. 1 largest integer that divides all the numbers equally.
GCD of 324, 689, 842, 395 is 1
GCD(324, 689, 842, 395) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 324, 689, 842, 395 is 1
GCD(324, 689, 842, 395) = 1
Given Input numbers are 324, 689, 842, 395
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 324
List of positive integer divisors of 324 that divides 324 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
Divisors of 689
List of positive integer divisors of 689 that divides 689 without a remainder.
1, 13, 53, 689
Divisors of 842
List of positive integer divisors of 842 that divides 842 without a remainder.
1, 2, 421, 842
Divisors of 395
List of positive integer divisors of 395 that divides 395 without a remainder.
1, 5, 79, 395
Greatest Common Divisior
We found the divisors of 324, 689, 842, 395 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 324, 689, 842, 395 is 1.
Therefore, GCD of numbers 324, 689, 842, 395 is 1
Given Input Data is 324, 689, 842, 395
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3
Prime Factorization of 689 is 13 x 53
Prime Factorization of 842 is 2 x 421
Prime Factorization of 395 is 5 x 79
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(324, 689) = 223236
GCD(324, 689) = ( 324 x 689 ) / 223236
GCD(324, 689) = 223236 / 223236
GCD(324, 689) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 842
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 842) = 842
GCD(1, 842) = ( 1 x 842 ) / 842
GCD(1, 842) = 842 / 842
GCD(1, 842) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 395
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 395) = 395
GCD(1, 395) = ( 1 x 395 ) / 395
GCD(1, 395) = 395 / 395
GCD(1, 395) = 1
GCD of 324, 689, 842, 395 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 324, 689, 842, 395?
GCD of 324, 689, 842, 395 is 1
2. Where do I get the detailed procedure to find GCD of 324, 689, 842, 395?
You can find a detailed procedure to find GCD of 324, 689, 842, 395 on our page.
3. How to find GCD of 324, 689, 842, 395 on a calculator?
You can find the GCD of 324, 689, 842, 395 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.