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 788, 894, 31, 539 i.e. 1 largest integer that divides all the numbers equally.
GCD of 788, 894, 31, 539 is 1
GCD(788, 894, 31, 539) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 788, 894, 31, 539 is 1
GCD(788, 894, 31, 539) = 1
Given Input numbers are 788, 894, 31, 539
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 788
List of positive integer divisors of 788 that divides 788 without a remainder.
1, 2, 4, 197, 394, 788
Divisors of 894
List of positive integer divisors of 894 that divides 894 without a remainder.
1, 2, 3, 6, 149, 298, 447, 894
Divisors of 31
List of positive integer divisors of 31 that divides 31 without a remainder.
1, 31
Divisors of 539
List of positive integer divisors of 539 that divides 539 without a remainder.
1, 7, 11, 49, 77, 539
Greatest Common Divisior
We found the divisors of 788, 894, 31, 539 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 788, 894, 31, 539 is 1.
Therefore, GCD of numbers 788, 894, 31, 539 is 1
Given Input Data is 788, 894, 31, 539
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 788 is 2 x 2 x 197
Prime Factorization of 894 is 2 x 3 x 149
Prime Factorization of 31 is 31
Prime Factorization of 539 is 7 x 7 x 11
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(788, 894) = 352236
GCD(788, 894) = ( 788 x 894 ) / 352236
GCD(788, 894) = 704472 / 352236
GCD(788, 894) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 31
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 31) = 62
GCD(2, 31) = ( 2 x 31 ) / 62
GCD(2, 31) = 62 / 62
GCD(2, 31) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 539
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 539) = 539
GCD(1, 539) = ( 1 x 539 ) / 539
GCD(1, 539) = 539 / 539
GCD(1, 539) = 1
GCD of 788, 894, 31, 539 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 788, 894, 31, 539?
GCD of 788, 894, 31, 539 is 1
2. Where do I get the detailed procedure to find GCD of 788, 894, 31, 539?
You can find a detailed procedure to find GCD of 788, 894, 31, 539 on our page.
3. How to find GCD of 788, 894, 31, 539 on a calculator?
You can find the GCD of 788, 894, 31, 539 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.