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, 681, 572, 876 i.e. 1 largest integer that divides all the numbers equally.
GCD of 314, 681, 572, 876 is 1
GCD(314, 681, 572, 876) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 314, 681, 572, 876 is 1
GCD(314, 681, 572, 876) = 1
Given Input numbers are 314, 681, 572, 876
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 681
List of positive integer divisors of 681 that divides 681 without a remainder.
1, 3, 227, 681
Divisors of 572
List of positive integer divisors of 572 that divides 572 without a remainder.
1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
Divisors of 876
List of positive integer divisors of 876 that divides 876 without a remainder.
1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
Greatest Common Divisior
We found the divisors of 314, 681, 572, 876 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 314, 681, 572, 876 is 1.
Therefore, GCD of numbers 314, 681, 572, 876 is 1
Given Input Data is 314, 681, 572, 876
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 314 is 2 x 157
Prime Factorization of 681 is 3 x 227
Prime Factorization of 572 is 2 x 2 x 11 x 13
Prime Factorization of 876 is 2 x 2 x 3 x 73
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, 681) = 213834
GCD(314, 681) = ( 314 x 681 ) / 213834
GCD(314, 681) = 213834 / 213834
GCD(314, 681) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 572
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 572) = 572
GCD(1, 572) = ( 1 x 572 ) / 572
GCD(1, 572) = 572 / 572
GCD(1, 572) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 876
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 876) = 876
GCD(1, 876) = ( 1 x 876 ) / 876
GCD(1, 876) = 876 / 876
GCD(1, 876) = 1
GCD of 314, 681, 572, 876 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 314, 681, 572, 876?
GCD of 314, 681, 572, 876 is 1
2. Where do I get the detailed procedure to find GCD of 314, 681, 572, 876?
You can find a detailed procedure to find GCD of 314, 681, 572, 876 on our page.
3. How to find GCD of 314, 681, 572, 876 on a calculator?
You can find the GCD of 314, 681, 572, 876 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.