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 259, 117, 671, 898 i.e. 1 largest integer that divides all the numbers equally.
GCD of 259, 117, 671, 898 is 1
GCD(259, 117, 671, 898) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 259, 117, 671, 898 is 1
GCD(259, 117, 671, 898) = 1
Given Input numbers are 259, 117, 671, 898
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 259
List of positive integer divisors of 259 that divides 259 without a remainder.
1, 7, 37, 259
Divisors of 117
List of positive integer divisors of 117 that divides 117 without a remainder.
1, 3, 9, 13, 39, 117
Divisors of 671
List of positive integer divisors of 671 that divides 671 without a remainder.
1, 11, 61, 671
Divisors of 898
List of positive integer divisors of 898 that divides 898 without a remainder.
1, 2, 449, 898
Greatest Common Divisior
We found the divisors of 259, 117, 671, 898 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 259, 117, 671, 898 is 1.
Therefore, GCD of numbers 259, 117, 671, 898 is 1
Given Input Data is 259, 117, 671, 898
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 259 is 7 x 37
Prime Factorization of 117 is 3 x 3 x 13
Prime Factorization of 671 is 11 x 61
Prime Factorization of 898 is 2 x 449
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(259, 117) = 30303
GCD(259, 117) = ( 259 x 117 ) / 30303
GCD(259, 117) = 30303 / 30303
GCD(259, 117) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 671
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 671) = 671
GCD(1, 671) = ( 1 x 671 ) / 671
GCD(1, 671) = 671 / 671
GCD(1, 671) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 898
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 898) = 898
GCD(1, 898) = ( 1 x 898 ) / 898
GCD(1, 898) = 898 / 898
GCD(1, 898) = 1
GCD of 259, 117, 671, 898 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 259, 117, 671, 898?
GCD of 259, 117, 671, 898 is 1
2. Where do I get the detailed procedure to find GCD of 259, 117, 671, 898?
You can find a detailed procedure to find GCD of 259, 117, 671, 898 on our page.
3. How to find GCD of 259, 117, 671, 898 on a calculator?
You can find the GCD of 259, 117, 671, 898 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.