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 434, 931, 22, 918 i.e. 1 largest integer that divides all the numbers equally.
GCD of 434, 931, 22, 918 is 1
GCD(434, 931, 22, 918) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 434, 931, 22, 918 is 1
GCD(434, 931, 22, 918) = 1
Given Input numbers are 434, 931, 22, 918
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 434
List of positive integer divisors of 434 that divides 434 without a remainder.
1, 2, 7, 14, 31, 62, 217, 434
Divisors of 931
List of positive integer divisors of 931 that divides 931 without a remainder.
1, 7, 19, 49, 133, 931
Divisors of 22
List of positive integer divisors of 22 that divides 22 without a remainder.
1, 2, 11, 22
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
Greatest Common Divisior
We found the divisors of 434, 931, 22, 918 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 434, 931, 22, 918 is 1.
Therefore, GCD of numbers 434, 931, 22, 918 is 1
Given Input Data is 434, 931, 22, 918
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 434 is 2 x 7 x 31
Prime Factorization of 931 is 7 x 7 x 19
Prime Factorization of 22 is 2 x 11
Prime Factorization of 918 is 2 x 3 x 3 x 3 x 17
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(434, 931) = 57722
GCD(434, 931) = ( 434 x 931 ) / 57722
GCD(434, 931) = 404054 / 57722
GCD(434, 931) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 22
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 22) = 154
GCD(7, 22) = ( 7 x 22 ) / 154
GCD(7, 22) = 154 / 154
GCD(7, 22) = 1
Step3:
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
GCD of 434, 931, 22, 918 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 434, 931, 22, 918?
GCD of 434, 931, 22, 918 is 1
2. Where do I get the detailed procedure to find GCD of 434, 931, 22, 918?
You can find a detailed procedure to find GCD of 434, 931, 22, 918 on our page.
3. How to find GCD of 434, 931, 22, 918 on a calculator?
You can find the GCD of 434, 931, 22, 918 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.