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, 276, 369, 683 i.e. 1 largest integer that divides all the numbers equally.
GCD of 12, 276, 369, 683 is 1
GCD(12, 276, 369, 683) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 12, 276, 369, 683 is 1
GCD(12, 276, 369, 683) = 1
Given Input numbers are 12, 276, 369, 683
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 276
List of positive integer divisors of 276 that divides 276 without a remainder.
1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
Divisors of 369
List of positive integer divisors of 369 that divides 369 without a remainder.
1, 3, 9, 41, 123, 369
Divisors of 683
List of positive integer divisors of 683 that divides 683 without a remainder.
1, 683
Greatest Common Divisior
We found the divisors of 12, 276, 369, 683 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 12, 276, 369, 683 is 1.
Therefore, GCD of numbers 12, 276, 369, 683 is 1
Given Input Data is 12, 276, 369, 683
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 276 is 2 x 2 x 3 x 23
Prime Factorization of 369 is 3 x 3 x 41
Prime Factorization of 683 is 683
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, 276) = 276
GCD(12, 276) = ( 12 x 276 ) / 276
GCD(12, 276) = 3312 / 276
GCD(12, 276) = 12
Step2:
Here we consider the GCD from the above i.e. 12 as first number and the next as 369
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(12, 369) = 1476
GCD(12, 369) = ( 12 x 369 ) / 1476
GCD(12, 369) = 4428 / 1476
GCD(12, 369) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 683
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 683) = 2049
GCD(3, 683) = ( 3 x 683 ) / 2049
GCD(3, 683) = 2049 / 2049
GCD(3, 683) = 1
GCD of 12, 276, 369, 683 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 12, 276, 369, 683?
GCD of 12, 276, 369, 683 is 1
2. Where do I get the detailed procedure to find GCD of 12, 276, 369, 683?
You can find a detailed procedure to find GCD of 12, 276, 369, 683 on our page.
3. How to find GCD of 12, 276, 369, 683 on a calculator?
You can find the GCD of 12, 276, 369, 683 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.