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 789, 775, 374, 893 i.e. 1 largest integer that divides all the numbers equally.
GCD of 789, 775, 374, 893 is 1
GCD(789, 775, 374, 893) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 789, 775, 374, 893 is 1
GCD(789, 775, 374, 893) = 1
Given Input numbers are 789, 775, 374, 893
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 789
List of positive integer divisors of 789 that divides 789 without a remainder.
1, 3, 263, 789
Divisors of 775
List of positive integer divisors of 775 that divides 775 without a remainder.
1, 5, 25, 31, 155, 775
Divisors of 374
List of positive integer divisors of 374 that divides 374 without a remainder.
1, 2, 11, 17, 22, 34, 187, 374
Divisors of 893
List of positive integer divisors of 893 that divides 893 without a remainder.
1, 19, 47, 893
Greatest Common Divisior
We found the divisors of 789, 775, 374, 893 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 789, 775, 374, 893 is 1.
Therefore, GCD of numbers 789, 775, 374, 893 is 1
Given Input Data is 789, 775, 374, 893
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 789 is 3 x 263
Prime Factorization of 775 is 5 x 5 x 31
Prime Factorization of 374 is 2 x 11 x 17
Prime Factorization of 893 is 19 x 47
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(789, 775) = 611475
GCD(789, 775) = ( 789 x 775 ) / 611475
GCD(789, 775) = 611475 / 611475
GCD(789, 775) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 374
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 374) = 374
GCD(1, 374) = ( 1 x 374 ) / 374
GCD(1, 374) = 374 / 374
GCD(1, 374) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 893
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 893) = 893
GCD(1, 893) = ( 1 x 893 ) / 893
GCD(1, 893) = 893 / 893
GCD(1, 893) = 1
GCD of 789, 775, 374, 893 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 789, 775, 374, 893?
GCD of 789, 775, 374, 893 is 1
2. Where do I get the detailed procedure to find GCD of 789, 775, 374, 893?
You can find a detailed procedure to find GCD of 789, 775, 374, 893 on our page.
3. How to find GCD of 789, 775, 374, 893 on a calculator?
You can find the GCD of 789, 775, 374, 893 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.