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 832, 788, 931, 821 i.e. 1 largest integer that divides all the numbers equally.
GCD of 832, 788, 931, 821 is 1
GCD(832, 788, 931, 821) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 832, 788, 931, 821 is 1
GCD(832, 788, 931, 821) = 1
Given Input numbers are 832, 788, 931, 821
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 832
List of positive integer divisors of 832 that divides 832 without a remainder.
1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
Divisors of 788
List of positive integer divisors of 788 that divides 788 without a remainder.
1, 2, 4, 197, 394, 788
Divisors of 931
List of positive integer divisors of 931 that divides 931 without a remainder.
1, 7, 19, 49, 133, 931
Divisors of 821
List of positive integer divisors of 821 that divides 821 without a remainder.
1, 821
Greatest Common Divisior
We found the divisors of 832, 788, 931, 821 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 832, 788, 931, 821 is 1.
Therefore, GCD of numbers 832, 788, 931, 821 is 1
Given Input Data is 832, 788, 931, 821
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 832 is 2 x 2 x 2 x 2 x 2 x 2 x 13
Prime Factorization of 788 is 2 x 2 x 197
Prime Factorization of 931 is 7 x 7 x 19
Prime Factorization of 821 is 821
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(832, 788) = 163904
GCD(832, 788) = ( 832 x 788 ) / 163904
GCD(832, 788) = 655616 / 163904
GCD(832, 788) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 931
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 931) = 3724
GCD(4, 931) = ( 4 x 931 ) / 3724
GCD(4, 931) = 3724 / 3724
GCD(4, 931) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 821
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 821) = 821
GCD(1, 821) = ( 1 x 821 ) / 821
GCD(1, 821) = 821 / 821
GCD(1, 821) = 1
GCD of 832, 788, 931, 821 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 832, 788, 931, 821?
GCD of 832, 788, 931, 821 is 1
2. Where do I get the detailed procedure to find GCD of 832, 788, 931, 821?
You can find a detailed procedure to find GCD of 832, 788, 931, 821 on our page.
3. How to find GCD of 832, 788, 931, 821 on a calculator?
You can find the GCD of 832, 788, 931, 821 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.