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 894, 517, 12, 803 i.e. 1 largest integer that divides all the numbers equally.
GCD of 894, 517, 12, 803 is 1
GCD(894, 517, 12, 803) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 894, 517, 12, 803 is 1
GCD(894, 517, 12, 803) = 1
Given Input numbers are 894, 517, 12, 803
To find the GCD of numbers using factoring list out all the divisors of each number
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 517
List of positive integer divisors of 517 that divides 517 without a remainder.
1, 11, 47, 517
Divisors of 12
List of positive integer divisors of 12 that divides 12 without a remainder.
1, 2, 3, 4, 6, 12
Divisors of 803
List of positive integer divisors of 803 that divides 803 without a remainder.
1, 11, 73, 803
Greatest Common Divisior
We found the divisors of 894, 517, 12, 803 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 894, 517, 12, 803 is 1.
Therefore, GCD of numbers 894, 517, 12, 803 is 1
Given Input Data is 894, 517, 12, 803
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 894 is 2 x 3 x 149
Prime Factorization of 517 is 11 x 47
Prime Factorization of 12 is 2 x 2 x 3
Prime Factorization of 803 is 11 x 73
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(894, 517) = 462198
GCD(894, 517) = ( 894 x 517 ) / 462198
GCD(894, 517) = 462198 / 462198
GCD(894, 517) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 12
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 12) = 12
GCD(1, 12) = ( 1 x 12 ) / 12
GCD(1, 12) = 12 / 12
GCD(1, 12) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 803
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 803) = 803
GCD(1, 803) = ( 1 x 803 ) / 803
GCD(1, 803) = 803 / 803
GCD(1, 803) = 1
GCD of 894, 517, 12, 803 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 894, 517, 12, 803?
GCD of 894, 517, 12, 803 is 1
2. Where do I get the detailed procedure to find GCD of 894, 517, 12, 803?
You can find a detailed procedure to find GCD of 894, 517, 12, 803 on our page.
3. How to find GCD of 894, 517, 12, 803 on a calculator?
You can find the GCD of 894, 517, 12, 803 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.