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 123, 236, 582, 595 i.e. 1 largest integer that divides all the numbers equally.
GCD of 123, 236, 582, 595 is 1
GCD(123, 236, 582, 595) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 123, 236, 582, 595 is 1
GCD(123, 236, 582, 595) = 1
Given Input numbers are 123, 236, 582, 595
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 123
List of positive integer divisors of 123 that divides 123 without a remainder.
1, 3, 41, 123
Divisors of 236
List of positive integer divisors of 236 that divides 236 without a remainder.
1, 2, 4, 59, 118, 236
Divisors of 582
List of positive integer divisors of 582 that divides 582 without a remainder.
1, 2, 3, 6, 97, 194, 291, 582
Divisors of 595
List of positive integer divisors of 595 that divides 595 without a remainder.
1, 5, 7, 17, 35, 85, 119, 595
Greatest Common Divisior
We found the divisors of 123, 236, 582, 595 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 123, 236, 582, 595 is 1.
Therefore, GCD of numbers 123, 236, 582, 595 is 1
Given Input Data is 123, 236, 582, 595
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 123 is 3 x 41
Prime Factorization of 236 is 2 x 2 x 59
Prime Factorization of 582 is 2 x 3 x 97
Prime Factorization of 595 is 5 x 7 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(123, 236) = 29028
GCD(123, 236) = ( 123 x 236 ) / 29028
GCD(123, 236) = 29028 / 29028
GCD(123, 236) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 582
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 582) = 582
GCD(1, 582) = ( 1 x 582 ) / 582
GCD(1, 582) = 582 / 582
GCD(1, 582) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 595
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 595) = 595
GCD(1, 595) = ( 1 x 595 ) / 595
GCD(1, 595) = 595 / 595
GCD(1, 595) = 1
GCD of 123, 236, 582, 595 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 123, 236, 582, 595?
GCD of 123, 236, 582, 595 is 1
2. Where do I get the detailed procedure to find GCD of 123, 236, 582, 595?
You can find a detailed procedure to find GCD of 123, 236, 582, 595 on our page.
3. How to find GCD of 123, 236, 582, 595 on a calculator?
You can find the GCD of 123, 236, 582, 595 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.