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, 843, 85, 894 i.e. 1 largest integer that divides all the numbers equally.
GCD of 324, 843, 85, 894 is 1
GCD(324, 843, 85, 894) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 324, 843, 85, 894 is 1
GCD(324, 843, 85, 894) = 1
Given Input numbers are 324, 843, 85, 894
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 843
List of positive integer divisors of 843 that divides 843 without a remainder.
1, 3, 281, 843
Divisors of 85
List of positive integer divisors of 85 that divides 85 without a remainder.
1, 5, 17, 85
Divisors of 894
List of positive integer divisors of 894 that divides 894 without a remainder.
1, 2, 3, 6, 149, 298, 447, 894
Greatest Common Divisior
We found the divisors of 324, 843, 85, 894 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 324, 843, 85, 894 is 1.
Therefore, GCD of numbers 324, 843, 85, 894 is 1
Given Input Data is 324, 843, 85, 894
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 843 is 3 x 281
Prime Factorization of 85 is 5 x 17
Prime Factorization of 894 is 2 x 3 x 149
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, 843) = 91044
GCD(324, 843) = ( 324 x 843 ) / 91044
GCD(324, 843) = 273132 / 91044
GCD(324, 843) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 85
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 85) = 255
GCD(3, 85) = ( 3 x 85 ) / 255
GCD(3, 85) = 255 / 255
GCD(3, 85) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 894
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 894) = 894
GCD(1, 894) = ( 1 x 894 ) / 894
GCD(1, 894) = 894 / 894
GCD(1, 894) = 1
GCD of 324, 843, 85, 894 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 324, 843, 85, 894?
GCD of 324, 843, 85, 894 is 1
2. Where do I get the detailed procedure to find GCD of 324, 843, 85, 894?
You can find a detailed procedure to find GCD of 324, 843, 85, 894 on our page.
3. How to find GCD of 324, 843, 85, 894 on a calculator?
You can find the GCD of 324, 843, 85, 894 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.