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 391, 658, 831, 106 i.e. 1 largest integer that divides all the numbers equally.
GCD of 391, 658, 831, 106 is 1
GCD(391, 658, 831, 106) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 391, 658, 831, 106 is 1
GCD(391, 658, 831, 106) = 1
Given Input numbers are 391, 658, 831, 106
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 391
List of positive integer divisors of 391 that divides 391 without a remainder.
1, 17, 23, 391
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 831
List of positive integer divisors of 831 that divides 831 without a remainder.
1, 3, 277, 831
Divisors of 106
List of positive integer divisors of 106 that divides 106 without a remainder.
1, 2, 53, 106
Greatest Common Divisior
We found the divisors of 391, 658, 831, 106 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 391, 658, 831, 106 is 1.
Therefore, GCD of numbers 391, 658, 831, 106 is 1
Given Input Data is 391, 658, 831, 106
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 391 is 17 x 23
Prime Factorization of 658 is 2 x 7 x 47
Prime Factorization of 831 is 3 x 277
Prime Factorization of 106 is 2 x 53
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(391, 658) = 257278
GCD(391, 658) = ( 391 x 658 ) / 257278
GCD(391, 658) = 257278 / 257278
GCD(391, 658) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 831
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 831) = 831
GCD(1, 831) = ( 1 x 831 ) / 831
GCD(1, 831) = 831 / 831
GCD(1, 831) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 106
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 106) = 106
GCD(1, 106) = ( 1 x 106 ) / 106
GCD(1, 106) = 106 / 106
GCD(1, 106) = 1
GCD of 391, 658, 831, 106 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 391, 658, 831, 106?
GCD of 391, 658, 831, 106 is 1
2. Where do I get the detailed procedure to find GCD of 391, 658, 831, 106?
You can find a detailed procedure to find GCD of 391, 658, 831, 106 on our page.
3. How to find GCD of 391, 658, 831, 106 on a calculator?
You can find the GCD of 391, 658, 831, 106 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.