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 359, 391, 17, 271 i.e. 1 largest integer that divides all the numbers equally.
GCD of 359, 391, 17, 271 is 1
GCD(359, 391, 17, 271) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 359, 391, 17, 271 is 1
GCD(359, 391, 17, 271) = 1
Given Input numbers are 359, 391, 17, 271
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 359
List of positive integer divisors of 359 that divides 359 without a remainder.
1, 359
Divisors of 391
List of positive integer divisors of 391 that divides 391 without a remainder.
1, 17, 23, 391
Divisors of 17
List of positive integer divisors of 17 that divides 17 without a remainder.
1, 17
Divisors of 271
List of positive integer divisors of 271 that divides 271 without a remainder.
1, 271
Greatest Common Divisior
We found the divisors of 359, 391, 17, 271 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 359, 391, 17, 271 is 1.
Therefore, GCD of numbers 359, 391, 17, 271 is 1
Given Input Data is 359, 391, 17, 271
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 359 is 359
Prime Factorization of 391 is 17 x 23
Prime Factorization of 17 is 17
Prime Factorization of 271 is 271
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(359, 391) = 140369
GCD(359, 391) = ( 359 x 391 ) / 140369
GCD(359, 391) = 140369 / 140369
GCD(359, 391) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 17
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 17) = 17
GCD(1, 17) = ( 1 x 17 ) / 17
GCD(1, 17) = 17 / 17
GCD(1, 17) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 271
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 271) = 271
GCD(1, 271) = ( 1 x 271 ) / 271
GCD(1, 271) = 271 / 271
GCD(1, 271) = 1
GCD of 359, 391, 17, 271 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 359, 391, 17, 271?
GCD of 359, 391, 17, 271 is 1
2. Where do I get the detailed procedure to find GCD of 359, 391, 17, 271?
You can find a detailed procedure to find GCD of 359, 391, 17, 271 on our page.
3. How to find GCD of 359, 391, 17, 271 on a calculator?
You can find the GCD of 359, 391, 17, 271 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.