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 621, 825, 96, 789 i.e. 3 largest integer that divides all the numbers equally.
GCD of 621, 825, 96, 789 is 3
GCD(621, 825, 96, 789) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 621, 825, 96, 789 is 3
GCD(621, 825, 96, 789) = 3
Given Input numbers are 621, 825, 96, 789
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 621
List of positive integer divisors of 621 that divides 621 without a remainder.
1, 3, 9, 23, 27, 69, 207, 621
Divisors of 825
List of positive integer divisors of 825 that divides 825 without a remainder.
1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
Divisors of 96
List of positive integer divisors of 96 that divides 96 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
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 621, 825, 96, 789 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 621, 825, 96, 789 is 3.
Therefore, GCD of numbers 621, 825, 96, 789 is 3
Given Input Data is 621, 825, 96, 789
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 621 is 3 x 3 x 3 x 23
Prime Factorization of 825 is 3 x 5 x 5 x 11
Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 789 is 3 x 263
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
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(621, 825) = 170775
GCD(621, 825) = ( 621 x 825 ) / 170775
GCD(621, 825) = 512325 / 170775
GCD(621, 825) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 96
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 96) = 96
GCD(3, 96) = ( 3 x 96 ) / 96
GCD(3, 96) = 288 / 96
GCD(3, 96) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 789
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 789) = 789
GCD(3, 789) = ( 3 x 789 ) / 789
GCD(3, 789) = 2367 / 789
GCD(3, 789) = 3
GCD of 621, 825, 96, 789 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 621, 825, 96, 789?
GCD of 621, 825, 96, 789 is 3
2. Where do I get the detailed procedure to find GCD of 621, 825, 96, 789?
You can find a detailed procedure to find GCD of 621, 825, 96, 789 on our page.
3. How to find GCD of 621, 825, 96, 789 on a calculator?
You can find the GCD of 621, 825, 96, 789 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.