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 859, 353, 14, 289 i.e. 1 largest integer that divides all the numbers equally.
GCD of 859, 353, 14, 289 is 1
GCD(859, 353, 14, 289) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 859, 353, 14, 289 is 1
GCD(859, 353, 14, 289) = 1
Given Input numbers are 859, 353, 14, 289
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 859
List of positive integer divisors of 859 that divides 859 without a remainder.
1, 859
Divisors of 353
List of positive integer divisors of 353 that divides 353 without a remainder.
1, 353
Divisors of 14
List of positive integer divisors of 14 that divides 14 without a remainder.
1, 2, 7, 14
Divisors of 289
List of positive integer divisors of 289 that divides 289 without a remainder.
1, 17, 289
Greatest Common Divisior
We found the divisors of 859, 353, 14, 289 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 859, 353, 14, 289 is 1.
Therefore, GCD of numbers 859, 353, 14, 289 is 1
Given Input Data is 859, 353, 14, 289
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 859 is 859
Prime Factorization of 353 is 353
Prime Factorization of 14 is 2 x 7
Prime Factorization of 289 is 17 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(859, 353) = 303227
GCD(859, 353) = ( 859 x 353 ) / 303227
GCD(859, 353) = 303227 / 303227
GCD(859, 353) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 14
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 14) = 14
GCD(1, 14) = ( 1 x 14 ) / 14
GCD(1, 14) = 14 / 14
GCD(1, 14) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 289
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 289) = 289
GCD(1, 289) = ( 1 x 289 ) / 289
GCD(1, 289) = 289 / 289
GCD(1, 289) = 1
GCD of 859, 353, 14, 289 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 859, 353, 14, 289?
GCD of 859, 353, 14, 289 is 1
2. Where do I get the detailed procedure to find GCD of 859, 353, 14, 289?
You can find a detailed procedure to find GCD of 859, 353, 14, 289 on our page.
3. How to find GCD of 859, 353, 14, 289 on a calculator?
You can find the GCD of 859, 353, 14, 289 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.