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 314, 871, 27, 731 i.e. 1 largest integer that divides all the numbers equally.
GCD of 314, 871, 27, 731 is 1
GCD(314, 871, 27, 731) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 314, 871, 27, 731 is 1
GCD(314, 871, 27, 731) = 1
Given Input numbers are 314, 871, 27, 731
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 314
List of positive integer divisors of 314 that divides 314 without a remainder.
1, 2, 157, 314
Divisors of 871
List of positive integer divisors of 871 that divides 871 without a remainder.
1, 13, 67, 871
Divisors of 27
List of positive integer divisors of 27 that divides 27 without a remainder.
1, 3, 9, 27
Divisors of 731
List of positive integer divisors of 731 that divides 731 without a remainder.
1, 17, 43, 731
Greatest Common Divisior
We found the divisors of 314, 871, 27, 731 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 314, 871, 27, 731 is 1.
Therefore, GCD of numbers 314, 871, 27, 731 is 1
Given Input Data is 314, 871, 27, 731
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 314 is 2 x 157
Prime Factorization of 871 is 13 x 67
Prime Factorization of 27 is 3 x 3 x 3
Prime Factorization of 731 is 17 x 43
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(314, 871) = 273494
GCD(314, 871) = ( 314 x 871 ) / 273494
GCD(314, 871) = 273494 / 273494
GCD(314, 871) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 27
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 27) = 27
GCD(1, 27) = ( 1 x 27 ) / 27
GCD(1, 27) = 27 / 27
GCD(1, 27) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 731
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 731) = 731
GCD(1, 731) = ( 1 x 731 ) / 731
GCD(1, 731) = 731 / 731
GCD(1, 731) = 1
GCD of 314, 871, 27, 731 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 314, 871, 27, 731?
GCD of 314, 871, 27, 731 is 1
2. Where do I get the detailed procedure to find GCD of 314, 871, 27, 731?
You can find a detailed procedure to find GCD of 314, 871, 27, 731 on our page.
3. How to find GCD of 314, 871, 27, 731 on a calculator?
You can find the GCD of 314, 871, 27, 731 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.