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 814, 877, 658, 389 i.e. 1 largest integer that divides all the numbers equally.
GCD of 814, 877, 658, 389 is 1
GCD(814, 877, 658, 389) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 814, 877, 658, 389 is 1
GCD(814, 877, 658, 389) = 1
Given Input numbers are 814, 877, 658, 389
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 814
List of positive integer divisors of 814 that divides 814 without a remainder.
1, 2, 11, 22, 37, 74, 407, 814
Divisors of 877
List of positive integer divisors of 877 that divides 877 without a remainder.
1, 877
Divisors of 658
List of positive integer divisors of 658 that divides 658 without a remainder.
1, 2, 7, 14, 47, 94, 329, 658
Divisors of 389
List of positive integer divisors of 389 that divides 389 without a remainder.
1, 389
Greatest Common Divisior
We found the divisors of 814, 877, 658, 389 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 814, 877, 658, 389 is 1.
Therefore, GCD of numbers 814, 877, 658, 389 is 1
Given Input Data is 814, 877, 658, 389
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 814 is 2 x 11 x 37
Prime Factorization of 877 is 877
Prime Factorization of 658 is 2 x 7 x 47
Prime Factorization of 389 is 389
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(814, 877) = 713878
GCD(814, 877) = ( 814 x 877 ) / 713878
GCD(814, 877) = 713878 / 713878
GCD(814, 877) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 658
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 658) = 658
GCD(1, 658) = ( 1 x 658 ) / 658
GCD(1, 658) = 658 / 658
GCD(1, 658) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 389
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 389) = 389
GCD(1, 389) = ( 1 x 389 ) / 389
GCD(1, 389) = 389 / 389
GCD(1, 389) = 1
GCD of 814, 877, 658, 389 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 814, 877, 658, 389?
GCD of 814, 877, 658, 389 is 1
2. Where do I get the detailed procedure to find GCD of 814, 877, 658, 389?
You can find a detailed procedure to find GCD of 814, 877, 658, 389 on our page.
3. How to find GCD of 814, 877, 658, 389 on a calculator?
You can find the GCD of 814, 877, 658, 389 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.