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, 493, 615, 629 i.e. 1 largest integer that divides all the numbers equally.
GCD of 789, 493, 615, 629 is 1
GCD(789, 493, 615, 629) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 789, 493, 615, 629 is 1
GCD(789, 493, 615, 629) = 1
Given Input numbers are 789, 493, 615, 629
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 493
List of positive integer divisors of 493 that divides 493 without a remainder.
1, 17, 29, 493
Divisors of 615
List of positive integer divisors of 615 that divides 615 without a remainder.
1, 3, 5, 15, 41, 123, 205, 615
Divisors of 629
List of positive integer divisors of 629 that divides 629 without a remainder.
1, 17, 37, 629
Greatest Common Divisior
We found the divisors of 789, 493, 615, 629 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 789, 493, 615, 629 is 1.
Therefore, GCD of numbers 789, 493, 615, 629 is 1
Given Input Data is 789, 493, 615, 629
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 789 is 3 x 263
Prime Factorization of 493 is 17 x 29
Prime Factorization of 615 is 3 x 5 x 41
Prime Factorization of 629 is 17 x 37
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, 493) = 388977
GCD(789, 493) = ( 789 x 493 ) / 388977
GCD(789, 493) = 388977 / 388977
GCD(789, 493) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 615
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 615) = 615
GCD(1, 615) = ( 1 x 615 ) / 615
GCD(1, 615) = 615 / 615
GCD(1, 615) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 629
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 629) = 629
GCD(1, 629) = ( 1 x 629 ) / 629
GCD(1, 629) = 629 / 629
GCD(1, 629) = 1
GCD of 789, 493, 615, 629 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 789, 493, 615, 629?
GCD of 789, 493, 615, 629 is 1
2. Where do I get the detailed procedure to find GCD of 789, 493, 615, 629?
You can find a detailed procedure to find GCD of 789, 493, 615, 629 on our page.
3. How to find GCD of 789, 493, 615, 629 on a calculator?
You can find the GCD of 789, 493, 615, 629 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.