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 440, 831, 358, 108 i.e. 1 largest integer that divides all the numbers equally.
GCD of 440, 831, 358, 108 is 1
GCD(440, 831, 358, 108) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 440, 831, 358, 108 is 1
GCD(440, 831, 358, 108) = 1
Given Input numbers are 440, 831, 358, 108
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 440
List of positive integer divisors of 440 that divides 440 without a remainder.
1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
Divisors of 831
List of positive integer divisors of 831 that divides 831 without a remainder.
1, 3, 277, 831
Divisors of 358
List of positive integer divisors of 358 that divides 358 without a remainder.
1, 2, 179, 358
Divisors of 108
List of positive integer divisors of 108 that divides 108 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
Greatest Common Divisior
We found the divisors of 440, 831, 358, 108 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 440, 831, 358, 108 is 1.
Therefore, GCD of numbers 440, 831, 358, 108 is 1
Given Input Data is 440, 831, 358, 108
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11
Prime Factorization of 831 is 3 x 277
Prime Factorization of 358 is 2 x 179
Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3
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(440, 831) = 365640
GCD(440, 831) = ( 440 x 831 ) / 365640
GCD(440, 831) = 365640 / 365640
GCD(440, 831) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 358
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 358) = 358
GCD(1, 358) = ( 1 x 358 ) / 358
GCD(1, 358) = 358 / 358
GCD(1, 358) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 108
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 108) = 108
GCD(1, 108) = ( 1 x 108 ) / 108
GCD(1, 108) = 108 / 108
GCD(1, 108) = 1
GCD of 440, 831, 358, 108 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 440, 831, 358, 108?
GCD of 440, 831, 358, 108 is 1
2. Where do I get the detailed procedure to find GCD of 440, 831, 358, 108?
You can find a detailed procedure to find GCD of 440, 831, 358, 108 on our page.
3. How to find GCD of 440, 831, 358, 108 on a calculator?
You can find the GCD of 440, 831, 358, 108 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.