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 538, 302, 89, 259 i.e. 1 largest integer that divides all the numbers equally.
GCD of 538, 302, 89, 259 is 1
GCD(538, 302, 89, 259) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 538, 302, 89, 259 is 1
GCD(538, 302, 89, 259) = 1
Given Input numbers are 538, 302, 89, 259
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 538
List of positive integer divisors of 538 that divides 538 without a remainder.
1, 2, 269, 538
Divisors of 302
List of positive integer divisors of 302 that divides 302 without a remainder.
1, 2, 151, 302
Divisors of 89
List of positive integer divisors of 89 that divides 89 without a remainder.
1, 89
Divisors of 259
List of positive integer divisors of 259 that divides 259 without a remainder.
1, 7, 37, 259
Greatest Common Divisior
We found the divisors of 538, 302, 89, 259 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 538, 302, 89, 259 is 1.
Therefore, GCD of numbers 538, 302, 89, 259 is 1
Given Input Data is 538, 302, 89, 259
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 538 is 2 x 269
Prime Factorization of 302 is 2 x 151
Prime Factorization of 89 is 89
Prime Factorization of 259 is 7 x 37
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(538, 302) = 81238
GCD(538, 302) = ( 538 x 302 ) / 81238
GCD(538, 302) = 162476 / 81238
GCD(538, 302) = 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 259
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 259) = 259
GCD(1, 259) = ( 1 x 259 ) / 259
GCD(1, 259) = 259 / 259
GCD(1, 259) = 1
GCD of 538, 302, 89, 259 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 538, 302, 89, 259?
GCD of 538, 302, 89, 259 is 1
2. Where do I get the detailed procedure to find GCD of 538, 302, 89, 259?
You can find a detailed procedure to find GCD of 538, 302, 89, 259 on our page.
3. How to find GCD of 538, 302, 89, 259 on a calculator?
You can find the GCD of 538, 302, 89, 259 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.