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 350, 458, 89, 326 i.e. 1 largest integer that divides all the numbers equally.
GCD of 350, 458, 89, 326 is 1
GCD(350, 458, 89, 326) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 350, 458, 89, 326 is 1
GCD(350, 458, 89, 326) = 1
Given Input numbers are 350, 458, 89, 326
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 350
List of positive integer divisors of 350 that divides 350 without a remainder.
1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
Divisors of 458
List of positive integer divisors of 458 that divides 458 without a remainder.
1, 2, 229, 458
Divisors of 89
List of positive integer divisors of 89 that divides 89 without a remainder.
1, 89
Divisors of 326
List of positive integer divisors of 326 that divides 326 without a remainder.
1, 2, 163, 326
Greatest Common Divisior
We found the divisors of 350, 458, 89, 326 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 350, 458, 89, 326 is 1.
Therefore, GCD of numbers 350, 458, 89, 326 is 1
Given Input Data is 350, 458, 89, 326
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 350 is 2 x 5 x 5 x 7
Prime Factorization of 458 is 2 x 229
Prime Factorization of 89 is 89
Prime Factorization of 326 is 2 x 163
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(350, 458) = 80150
GCD(350, 458) = ( 350 x 458 ) / 80150
GCD(350, 458) = 160300 / 80150
GCD(350, 458) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 89
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 89) = 178
GCD(2, 89) = ( 2 x 89 ) / 178
GCD(2, 89) = 178 / 178
GCD(2, 89) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 326
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 326) = 326
GCD(1, 326) = ( 1 x 326 ) / 326
GCD(1, 326) = 326 / 326
GCD(1, 326) = 1
GCD of 350, 458, 89, 326 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 350, 458, 89, 326?
GCD of 350, 458, 89, 326 is 1
2. Where do I get the detailed procedure to find GCD of 350, 458, 89, 326?
You can find a detailed procedure to find GCD of 350, 458, 89, 326 on our page.
3. How to find GCD of 350, 458, 89, 326 on a calculator?
You can find the GCD of 350, 458, 89, 326 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.