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, 873, 257, 860 i.e. 1 largest integer that divides all the numbers equally.
GCD of 12, 873, 257, 860 is 1
GCD(12, 873, 257, 860) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 12, 873, 257, 860 is 1
GCD(12, 873, 257, 860) = 1
Given Input numbers are 12, 873, 257, 860
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 873
List of positive integer divisors of 873 that divides 873 without a remainder.
1, 3, 9, 97, 291, 873
Divisors of 257
List of positive integer divisors of 257 that divides 257 without a remainder.
1, 257
Divisors of 860
List of positive integer divisors of 860 that divides 860 without a remainder.
1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
Greatest Common Divisior
We found the divisors of 12, 873, 257, 860 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 12, 873, 257, 860 is 1.
Therefore, GCD of numbers 12, 873, 257, 860 is 1
Given Input Data is 12, 873, 257, 860
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 873 is 3 x 3 x 97
Prime Factorization of 257 is 257
Prime Factorization of 860 is 2 x 2 x 5 x 43
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, 873) = 3492
GCD(12, 873) = ( 12 x 873 ) / 3492
GCD(12, 873) = 10476 / 3492
GCD(12, 873) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 257
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 257) = 771
GCD(3, 257) = ( 3 x 257 ) / 771
GCD(3, 257) = 771 / 771
GCD(3, 257) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 860
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 860) = 860
GCD(1, 860) = ( 1 x 860 ) / 860
GCD(1, 860) = 860 / 860
GCD(1, 860) = 1
GCD of 12, 873, 257, 860 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 12, 873, 257, 860?
GCD of 12, 873, 257, 860 is 1
2. Where do I get the detailed procedure to find GCD of 12, 873, 257, 860?
You can find a detailed procedure to find GCD of 12, 873, 257, 860 on our page.
3. How to find GCD of 12, 873, 257, 860 on a calculator?
You can find the GCD of 12, 873, 257, 860 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.