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 787, 491, 198, 931 i.e. 1 largest integer that divides all the numbers equally.
GCD of 787, 491, 198, 931 is 1
GCD(787, 491, 198, 931) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 787, 491, 198, 931 is 1
GCD(787, 491, 198, 931) = 1
Given Input numbers are 787, 491, 198, 931
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 787
List of positive integer divisors of 787 that divides 787 without a remainder.
1, 787
Divisors of 491
List of positive integer divisors of 491 that divides 491 without a remainder.
1, 491
Divisors of 198
List of positive integer divisors of 198 that divides 198 without a remainder.
1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
Divisors of 931
List of positive integer divisors of 931 that divides 931 without a remainder.
1, 7, 19, 49, 133, 931
Greatest Common Divisior
We found the divisors of 787, 491, 198, 931 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 787, 491, 198, 931 is 1.
Therefore, GCD of numbers 787, 491, 198, 931 is 1
Given Input Data is 787, 491, 198, 931
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 787 is 787
Prime Factorization of 491 is 491
Prime Factorization of 198 is 2 x 3 x 3 x 11
Prime Factorization of 931 is 7 x 7 x 19
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(787, 491) = 386417
GCD(787, 491) = ( 787 x 491 ) / 386417
GCD(787, 491) = 386417 / 386417
GCD(787, 491) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 198
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 198) = 198
GCD(1, 198) = ( 1 x 198 ) / 198
GCD(1, 198) = 198 / 198
GCD(1, 198) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 931
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 931) = 931
GCD(1, 931) = ( 1 x 931 ) / 931
GCD(1, 931) = 931 / 931
GCD(1, 931) = 1
GCD of 787, 491, 198, 931 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 787, 491, 198, 931?
GCD of 787, 491, 198, 931 is 1
2. Where do I get the detailed procedure to find GCD of 787, 491, 198, 931?
You can find a detailed procedure to find GCD of 787, 491, 198, 931 on our page.
3. How to find GCD of 787, 491, 198, 931 on a calculator?
You can find the GCD of 787, 491, 198, 931 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.