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 620, 300, 393, 789 i.e. 1 largest integer that divides all the numbers equally.
GCD of 620, 300, 393, 789 is 1
GCD(620, 300, 393, 789) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 620, 300, 393, 789 is 1
GCD(620, 300, 393, 789) = 1
Given Input numbers are 620, 300, 393, 789
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 620
List of positive integer divisors of 620 that divides 620 without a remainder.
1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
Divisors of 300
List of positive integer divisors of 300 that divides 300 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
Divisors of 393
List of positive integer divisors of 393 that divides 393 without a remainder.
1, 3, 131, 393
Divisors of 789
List of positive integer divisors of 789 that divides 789 without a remainder.
1, 3, 263, 789
Greatest Common Divisior
We found the divisors of 620, 300, 393, 789 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 620, 300, 393, 789 is 1.
Therefore, GCD of numbers 620, 300, 393, 789 is 1
Given Input Data is 620, 300, 393, 789
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 620 is 2 x 2 x 5 x 31
Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5
Prime Factorization of 393 is 3 x 131
Prime Factorization of 789 is 3 x 263
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(620, 300) = 9300
GCD(620, 300) = ( 620 x 300 ) / 9300
GCD(620, 300) = 186000 / 9300
GCD(620, 300) = 20
Step2:
Here we consider the GCD from the above i.e. 20 as first number and the next as 393
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(20, 393) = 7860
GCD(20, 393) = ( 20 x 393 ) / 7860
GCD(20, 393) = 7860 / 7860
GCD(20, 393) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 789
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 789) = 789
GCD(1, 789) = ( 1 x 789 ) / 789
GCD(1, 789) = 789 / 789
GCD(1, 789) = 1
GCD of 620, 300, 393, 789 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 620, 300, 393, 789?
GCD of 620, 300, 393, 789 is 1
2. Where do I get the detailed procedure to find GCD of 620, 300, 393, 789?
You can find a detailed procedure to find GCD of 620, 300, 393, 789 on our page.
3. How to find GCD of 620, 300, 393, 789 on a calculator?
You can find the GCD of 620, 300, 393, 789 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.