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 31, 640, 818, 468 i.e. 1 largest integer that divides all the numbers equally.
GCD of 31, 640, 818, 468 is 1
GCD(31, 640, 818, 468) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 31, 640, 818, 468 is 1
GCD(31, 640, 818, 468) = 1
Given Input numbers are 31, 640, 818, 468
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 31
List of positive integer divisors of 31 that divides 31 without a remainder.
1, 31
Divisors of 640
List of positive integer divisors of 640 that divides 640 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
Divisors of 818
List of positive integer divisors of 818 that divides 818 without a remainder.
1, 2, 409, 818
Divisors of 468
List of positive integer divisors of 468 that divides 468 without a remainder.
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
Greatest Common Divisior
We found the divisors of 31, 640, 818, 468 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 31, 640, 818, 468 is 1.
Therefore, GCD of numbers 31, 640, 818, 468 is 1
Given Input Data is 31, 640, 818, 468
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 31 is 31
Prime Factorization of 640 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime Factorization of 818 is 2 x 409
Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13
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(31, 640) = 19840
GCD(31, 640) = ( 31 x 640 ) / 19840
GCD(31, 640) = 19840 / 19840
GCD(31, 640) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 818
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 818) = 818
GCD(1, 818) = ( 1 x 818 ) / 818
GCD(1, 818) = 818 / 818
GCD(1, 818) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 468
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 468) = 468
GCD(1, 468) = ( 1 x 468 ) / 468
GCD(1, 468) = 468 / 468
GCD(1, 468) = 1
GCD of 31, 640, 818, 468 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 31, 640, 818, 468?
GCD of 31, 640, 818, 468 is 1
2. Where do I get the detailed procedure to find GCD of 31, 640, 818, 468?
You can find a detailed procedure to find GCD of 31, 640, 818, 468 on our page.
3. How to find GCD of 31, 640, 818, 468 on a calculator?
You can find the GCD of 31, 640, 818, 468 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.