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 358, 871, 13, 314 i.e. 1 largest integer that divides all the numbers equally.
GCD of 358, 871, 13, 314 is 1
GCD(358, 871, 13, 314) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 358, 871, 13, 314 is 1
GCD(358, 871, 13, 314) = 1
Given Input numbers are 358, 871, 13, 314
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 358
List of positive integer divisors of 358 that divides 358 without a remainder.
1, 2, 179, 358
Divisors of 871
List of positive integer divisors of 871 that divides 871 without a remainder.
1, 13, 67, 871
Divisors of 13
List of positive integer divisors of 13 that divides 13 without a remainder.
1, 13
Divisors of 314
List of positive integer divisors of 314 that divides 314 without a remainder.
1, 2, 157, 314
Greatest Common Divisior
We found the divisors of 358, 871, 13, 314 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 358, 871, 13, 314 is 1.
Therefore, GCD of numbers 358, 871, 13, 314 is 1
Given Input Data is 358, 871, 13, 314
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 358 is 2 x 179
Prime Factorization of 871 is 13 x 67
Prime Factorization of 13 is 13
Prime Factorization of 314 is 2 x 157
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(358, 871) = 311818
GCD(358, 871) = ( 358 x 871 ) / 311818
GCD(358, 871) = 311818 / 311818
GCD(358, 871) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 13
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 13) = 13
GCD(1, 13) = ( 1 x 13 ) / 13
GCD(1, 13) = 13 / 13
GCD(1, 13) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 314
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 314) = 314
GCD(1, 314) = ( 1 x 314 ) / 314
GCD(1, 314) = 314 / 314
GCD(1, 314) = 1
GCD of 358, 871, 13, 314 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 358, 871, 13, 314?
GCD of 358, 871, 13, 314 is 1
2. Where do I get the detailed procedure to find GCD of 358, 871, 13, 314?
You can find a detailed procedure to find GCD of 358, 871, 13, 314 on our page.
3. How to find GCD of 358, 871, 13, 314 on a calculator?
You can find the GCD of 358, 871, 13, 314 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.