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 12, 555, 894, 943 i.e. 1 largest integer that divides all the numbers equally.
GCD of 12, 555, 894, 943 is 1
GCD(12, 555, 894, 943) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 12, 555, 894, 943 is 1
GCD(12, 555, 894, 943) = 1
Given Input numbers are 12, 555, 894, 943
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 12
List of positive integer divisors of 12 that divides 12 without a remainder.
1, 2, 3, 4, 6, 12
Divisors of 555
List of positive integer divisors of 555 that divides 555 without a remainder.
1, 3, 5, 15, 37, 111, 185, 555
Divisors of 894
List of positive integer divisors of 894 that divides 894 without a remainder.
1, 2, 3, 6, 149, 298, 447, 894
Divisors of 943
List of positive integer divisors of 943 that divides 943 without a remainder.
1, 23, 41, 943
Greatest Common Divisior
We found the divisors of 12, 555, 894, 943 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 12, 555, 894, 943 is 1.
Therefore, GCD of numbers 12, 555, 894, 943 is 1
Given Input Data is 12, 555, 894, 943
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 12 is 2 x 2 x 3
Prime Factorization of 555 is 3 x 5 x 37
Prime Factorization of 894 is 2 x 3 x 149
Prime Factorization of 943 is 23 x 41
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(12, 555) = 2220
GCD(12, 555) = ( 12 x 555 ) / 2220
GCD(12, 555) = 6660 / 2220
GCD(12, 555) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 894
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 894) = 894
GCD(3, 894) = ( 3 x 894 ) / 894
GCD(3, 894) = 2682 / 894
GCD(3, 894) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 943
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 943) = 2829
GCD(3, 943) = ( 3 x 943 ) / 2829
GCD(3, 943) = 2829 / 2829
GCD(3, 943) = 1
GCD of 12, 555, 894, 943 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 12, 555, 894, 943?
GCD of 12, 555, 894, 943 is 1
2. Where do I get the detailed procedure to find GCD of 12, 555, 894, 943?
You can find a detailed procedure to find GCD of 12, 555, 894, 943 on our page.
3. How to find GCD of 12, 555, 894, 943 on a calculator?
You can find the GCD of 12, 555, 894, 943 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.