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, 983, 875, 469 i.e. 1 largest integer that divides all the numbers equally.
GCD of 12, 983, 875, 469 is 1
GCD(12, 983, 875, 469) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 12, 983, 875, 469 is 1
GCD(12, 983, 875, 469) = 1
Given Input numbers are 12, 983, 875, 469
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 983
List of positive integer divisors of 983 that divides 983 without a remainder.
1, 983
Divisors of 875
List of positive integer divisors of 875 that divides 875 without a remainder.
1, 5, 7, 25, 35, 125, 175, 875
Divisors of 469
List of positive integer divisors of 469 that divides 469 without a remainder.
1, 7, 67, 469
Greatest Common Divisior
We found the divisors of 12, 983, 875, 469 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 12, 983, 875, 469 is 1.
Therefore, GCD of numbers 12, 983, 875, 469 is 1
Given Input Data is 12, 983, 875, 469
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 983 is 983
Prime Factorization of 875 is 5 x 5 x 5 x 7
Prime Factorization of 469 is 7 x 67
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, 983) = 11796
GCD(12, 983) = ( 12 x 983 ) / 11796
GCD(12, 983) = 11796 / 11796
GCD(12, 983) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 875
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 875) = 875
GCD(1, 875) = ( 1 x 875 ) / 875
GCD(1, 875) = 875 / 875
GCD(1, 875) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 469
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 469) = 469
GCD(1, 469) = ( 1 x 469 ) / 469
GCD(1, 469) = 469 / 469
GCD(1, 469) = 1
GCD of 12, 983, 875, 469 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 12, 983, 875, 469?
GCD of 12, 983, 875, 469 is 1
2. Where do I get the detailed procedure to find GCD of 12, 983, 875, 469?
You can find a detailed procedure to find GCD of 12, 983, 875, 469 on our page.
3. How to find GCD of 12, 983, 875, 469 on a calculator?
You can find the GCD of 12, 983, 875, 469 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.