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, 950, 918, 322 i.e. 1 largest integer that divides all the numbers equally.
GCD of 31, 950, 918, 322 is 1
GCD(31, 950, 918, 322) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 31, 950, 918, 322 is 1
GCD(31, 950, 918, 322) = 1
Given Input numbers are 31, 950, 918, 322
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 950
List of positive integer divisors of 950 that divides 950 without a remainder.
1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
Divisors of 918
List of positive integer divisors of 918 that divides 918 without a remainder.
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
Divisors of 322
List of positive integer divisors of 322 that divides 322 without a remainder.
1, 2, 7, 14, 23, 46, 161, 322
Greatest Common Divisior
We found the divisors of 31, 950, 918, 322 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 31, 950, 918, 322 is 1.
Therefore, GCD of numbers 31, 950, 918, 322 is 1
Given Input Data is 31, 950, 918, 322
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 31 is 31
Prime Factorization of 950 is 2 x 5 x 5 x 19
Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17
Prime Factorization of 322 is 2 x 7 x 23
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, 950) = 29450
GCD(31, 950) = ( 31 x 950 ) / 29450
GCD(31, 950) = 29450 / 29450
GCD(31, 950) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 918
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 918) = 918
GCD(1, 918) = ( 1 x 918 ) / 918
GCD(1, 918) = 918 / 918
GCD(1, 918) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 322
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 322) = 322
GCD(1, 322) = ( 1 x 322 ) / 322
GCD(1, 322) = 322 / 322
GCD(1, 322) = 1
GCD of 31, 950, 918, 322 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 31, 950, 918, 322?
GCD of 31, 950, 918, 322 is 1
2. Where do I get the detailed procedure to find GCD of 31, 950, 918, 322?
You can find a detailed procedure to find GCD of 31, 950, 918, 322 on our page.
3. How to find GCD of 31, 950, 918, 322 on a calculator?
You can find the GCD of 31, 950, 918, 322 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.