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, 100, 387, 926 i.e. 1 largest integer that divides all the numbers equally.
GCD of 831, 100, 387, 926 is 1
GCD(831, 100, 387, 926) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 831, 100, 387, 926 is 1
GCD(831, 100, 387, 926) = 1
Given Input numbers are 831, 100, 387, 926
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 100
List of positive integer divisors of 100 that divides 100 without a remainder.
1, 2, 4, 5, 10, 20, 25, 50, 100
Divisors of 387
List of positive integer divisors of 387 that divides 387 without a remainder.
1, 3, 9, 43, 129, 387
Divisors of 926
List of positive integer divisors of 926 that divides 926 without a remainder.
1, 2, 463, 926
Greatest Common Divisior
We found the divisors of 831, 100, 387, 926 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 831, 100, 387, 926 is 1.
Therefore, GCD of numbers 831, 100, 387, 926 is 1
Given Input Data is 831, 100, 387, 926
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 831 is 3 x 277
Prime Factorization of 100 is 2 x 2 x 5 x 5
Prime Factorization of 387 is 3 x 3 x 43
Prime Factorization of 926 is 2 x 463
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, 100) = 83100
GCD(831, 100) = ( 831 x 100 ) / 83100
GCD(831, 100) = 83100 / 83100
GCD(831, 100) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 387
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 387) = 387
GCD(1, 387) = ( 1 x 387 ) / 387
GCD(1, 387) = 387 / 387
GCD(1, 387) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 926
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 926) = 926
GCD(1, 926) = ( 1 x 926 ) / 926
GCD(1, 926) = 926 / 926
GCD(1, 926) = 1
GCD of 831, 100, 387, 926 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 831, 100, 387, 926?
GCD of 831, 100, 387, 926 is 1
2. Where do I get the detailed procedure to find GCD of 831, 100, 387, 926?
You can find a detailed procedure to find GCD of 831, 100, 387, 926 on our page.
3. How to find GCD of 831, 100, 387, 926 on a calculator?
You can find the GCD of 831, 100, 387, 926 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.