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 358, 488, 57, 323 i.e. 1 largest integer that divides all the numbers equally.
GCD of 358, 488, 57, 323 is 1
GCD(358, 488, 57, 323) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 358, 488, 57, 323 is 1
GCD(358, 488, 57, 323) = 1
Given Input numbers are 358, 488, 57, 323
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 358
List of positive integer divisors of 358 that divides 358 without a remainder.
1, 2, 179, 358
Divisors of 488
List of positive integer divisors of 488 that divides 488 without a remainder.
1, 2, 4, 8, 61, 122, 244, 488
Divisors of 57
List of positive integer divisors of 57 that divides 57 without a remainder.
1, 3, 19, 57
Divisors of 323
List of positive integer divisors of 323 that divides 323 without a remainder.
1, 17, 19, 323
Greatest Common Divisior
We found the divisors of 358, 488, 57, 323 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 358, 488, 57, 323 is 1.
Therefore, GCD of numbers 358, 488, 57, 323 is 1
Given Input Data is 358, 488, 57, 323
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 358 is 2 x 179
Prime Factorization of 488 is 2 x 2 x 2 x 61
Prime Factorization of 57 is 3 x 19
Prime Factorization of 323 is 17 x 19
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(358, 488) = 87352
GCD(358, 488) = ( 358 x 488 ) / 87352
GCD(358, 488) = 174704 / 87352
GCD(358, 488) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 57
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 57) = 114
GCD(2, 57) = ( 2 x 57 ) / 114
GCD(2, 57) = 114 / 114
GCD(2, 57) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 323
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 323) = 323
GCD(1, 323) = ( 1 x 323 ) / 323
GCD(1, 323) = 323 / 323
GCD(1, 323) = 1
GCD of 358, 488, 57, 323 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 358, 488, 57, 323?
GCD of 358, 488, 57, 323 is 1
2. Where do I get the detailed procedure to find GCD of 358, 488, 57, 323?
You can find a detailed procedure to find GCD of 358, 488, 57, 323 on our page.
3. How to find GCD of 358, 488, 57, 323 on a calculator?
You can find the GCD of 358, 488, 57, 323 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.