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, 600, 79, 631 i.e. 1 largest integer that divides all the numbers equally.
GCD of 789, 600, 79, 631 is 1
GCD(789, 600, 79, 631) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 789, 600, 79, 631 is 1
GCD(789, 600, 79, 631) = 1
Given Input numbers are 789, 600, 79, 631
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 600
List of positive integer divisors of 600 that divides 600 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
Divisors of 79
List of positive integer divisors of 79 that divides 79 without a remainder.
1, 79
Divisors of 631
List of positive integer divisors of 631 that divides 631 without a remainder.
1, 631
Greatest Common Divisior
We found the divisors of 789, 600, 79, 631 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 789, 600, 79, 631 is 1.
Therefore, GCD of numbers 789, 600, 79, 631 is 1
Given Input Data is 789, 600, 79, 631
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 789 is 3 x 263
Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5
Prime Factorization of 79 is 79
Prime Factorization of 631 is 631
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, 600) = 157800
GCD(789, 600) = ( 789 x 600 ) / 157800
GCD(789, 600) = 473400 / 157800
GCD(789, 600) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 79
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 79) = 237
GCD(3, 79) = ( 3 x 79 ) / 237
GCD(3, 79) = 237 / 237
GCD(3, 79) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 631
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 631) = 631
GCD(1, 631) = ( 1 x 631 ) / 631
GCD(1, 631) = 631 / 631
GCD(1, 631) = 1
GCD of 789, 600, 79, 631 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 789, 600, 79, 631?
GCD of 789, 600, 79, 631 is 1
2. Where do I get the detailed procedure to find GCD of 789, 600, 79, 631?
You can find a detailed procedure to find GCD of 789, 600, 79, 631 on our page.
3. How to find GCD of 789, 600, 79, 631 on a calculator?
You can find the GCD of 789, 600, 79, 631 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.