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 596, 104, 18, 457 i.e. 1 largest integer that divides all the numbers equally.
GCD of 596, 104, 18, 457 is 1
GCD(596, 104, 18, 457) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 596, 104, 18, 457 is 1
GCD(596, 104, 18, 457) = 1
Given Input numbers are 596, 104, 18, 457
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 596
List of positive integer divisors of 596 that divides 596 without a remainder.
1, 2, 4, 149, 298, 596
Divisors of 104
List of positive integer divisors of 104 that divides 104 without a remainder.
1, 2, 4, 8, 13, 26, 52, 104
Divisors of 18
List of positive integer divisors of 18 that divides 18 without a remainder.
1, 2, 3, 6, 9, 18
Divisors of 457
List of positive integer divisors of 457 that divides 457 without a remainder.
1, 457
Greatest Common Divisior
We found the divisors of 596, 104, 18, 457 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 596, 104, 18, 457 is 1.
Therefore, GCD of numbers 596, 104, 18, 457 is 1
Given Input Data is 596, 104, 18, 457
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 596 is 2 x 2 x 149
Prime Factorization of 104 is 2 x 2 x 2 x 13
Prime Factorization of 18 is 2 x 3 x 3
Prime Factorization of 457 is 457
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(596, 104) = 15496
GCD(596, 104) = ( 596 x 104 ) / 15496
GCD(596, 104) = 61984 / 15496
GCD(596, 104) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 18
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 18) = 36
GCD(4, 18) = ( 4 x 18 ) / 36
GCD(4, 18) = 72 / 36
GCD(4, 18) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 457
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 457) = 914
GCD(2, 457) = ( 2 x 457 ) / 914
GCD(2, 457) = 914 / 914
GCD(2, 457) = 1
GCD of 596, 104, 18, 457 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 596, 104, 18, 457?
GCD of 596, 104, 18, 457 is 1
2. Where do I get the detailed procedure to find GCD of 596, 104, 18, 457?
You can find a detailed procedure to find GCD of 596, 104, 18, 457 on our page.
3. How to find GCD of 596, 104, 18, 457 on a calculator?
You can find the GCD of 596, 104, 18, 457 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.