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 831, 118, 109, 611 i.e. 1 largest integer that divides all the numbers equally.
GCD of 831, 118, 109, 611 is 1
GCD(831, 118, 109, 611) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 831, 118, 109, 611 is 1
GCD(831, 118, 109, 611) = 1
Given Input numbers are 831, 118, 109, 611
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 831
List of positive integer divisors of 831 that divides 831 without a remainder.
1, 3, 277, 831
Divisors of 118
List of positive integer divisors of 118 that divides 118 without a remainder.
1, 2, 59, 118
Divisors of 109
List of positive integer divisors of 109 that divides 109 without a remainder.
1, 109
Divisors of 611
List of positive integer divisors of 611 that divides 611 without a remainder.
1, 13, 47, 611
Greatest Common Divisior
We found the divisors of 831, 118, 109, 611 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 831, 118, 109, 611 is 1.
Therefore, GCD of numbers 831, 118, 109, 611 is 1
Given Input Data is 831, 118, 109, 611
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 831 is 3 x 277
Prime Factorization of 118 is 2 x 59
Prime Factorization of 109 is 109
Prime Factorization of 611 is 13 x 47
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(831, 118) = 98058
GCD(831, 118) = ( 831 x 118 ) / 98058
GCD(831, 118) = 98058 / 98058
GCD(831, 118) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 109
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 109) = 109
GCD(1, 109) = ( 1 x 109 ) / 109
GCD(1, 109) = 109 / 109
GCD(1, 109) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 611
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 611) = 611
GCD(1, 611) = ( 1 x 611 ) / 611
GCD(1, 611) = 611 / 611
GCD(1, 611) = 1
GCD of 831, 118, 109, 611 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 831, 118, 109, 611?
GCD of 831, 118, 109, 611 is 1
2. Where do I get the detailed procedure to find GCD of 831, 118, 109, 611?
You can find a detailed procedure to find GCD of 831, 118, 109, 611 on our page.
3. How to find GCD of 831, 118, 109, 611 on a calculator?
You can find the GCD of 831, 118, 109, 611 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.