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 791, 119, 789, 251 i.e. 1 largest integer that divides all the numbers equally.
GCD of 791, 119, 789, 251 is 1
GCD(791, 119, 789, 251) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 791, 119, 789, 251 is 1
GCD(791, 119, 789, 251) = 1
Given Input numbers are 791, 119, 789, 251
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 791
List of positive integer divisors of 791 that divides 791 without a remainder.
1, 7, 113, 791
Divisors of 119
List of positive integer divisors of 119 that divides 119 without a remainder.
1, 7, 17, 119
Divisors of 789
List of positive integer divisors of 789 that divides 789 without a remainder.
1, 3, 263, 789
Divisors of 251
List of positive integer divisors of 251 that divides 251 without a remainder.
1, 251
Greatest Common Divisior
We found the divisors of 791, 119, 789, 251 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 791, 119, 789, 251 is 1.
Therefore, GCD of numbers 791, 119, 789, 251 is 1
Given Input Data is 791, 119, 789, 251
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 791 is 7 x 113
Prime Factorization of 119 is 7 x 17
Prime Factorization of 789 is 3 x 263
Prime Factorization of 251 is 251
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(791, 119) = 13447
GCD(791, 119) = ( 791 x 119 ) / 13447
GCD(791, 119) = 94129 / 13447
GCD(791, 119) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 789
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 789) = 5523
GCD(7, 789) = ( 7 x 789 ) / 5523
GCD(7, 789) = 5523 / 5523
GCD(7, 789) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 251
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 251) = 251
GCD(1, 251) = ( 1 x 251 ) / 251
GCD(1, 251) = 251 / 251
GCD(1, 251) = 1
GCD of 791, 119, 789, 251 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 791, 119, 789, 251?
GCD of 791, 119, 789, 251 is 1
2. Where do I get the detailed procedure to find GCD of 791, 119, 789, 251?
You can find a detailed procedure to find GCD of 791, 119, 789, 251 on our page.
3. How to find GCD of 791, 119, 789, 251 on a calculator?
You can find the GCD of 791, 119, 789, 251 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.