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, 924, 73, 682 i.e. 1 largest integer that divides all the numbers equally.
GCD of 789, 924, 73, 682 is 1
GCD(789, 924, 73, 682) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 789, 924, 73, 682 is 1
GCD(789, 924, 73, 682) = 1
Given Input numbers are 789, 924, 73, 682
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 924
List of positive integer divisors of 924 that divides 924 without a remainder.
1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
Divisors of 73
List of positive integer divisors of 73 that divides 73 without a remainder.
1, 73
Divisors of 682
List of positive integer divisors of 682 that divides 682 without a remainder.
1, 2, 11, 22, 31, 62, 341, 682
Greatest Common Divisior
We found the divisors of 789, 924, 73, 682 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 789, 924, 73, 682 is 1.
Therefore, GCD of numbers 789, 924, 73, 682 is 1
Given Input Data is 789, 924, 73, 682
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 789 is 3 x 263
Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11
Prime Factorization of 73 is 73
Prime Factorization of 682 is 2 x 11 x 31
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, 924) = 243012
GCD(789, 924) = ( 789 x 924 ) / 243012
GCD(789, 924) = 729036 / 243012
GCD(789, 924) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 73
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 73) = 219
GCD(3, 73) = ( 3 x 73 ) / 219
GCD(3, 73) = 219 / 219
GCD(3, 73) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 682
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 682) = 682
GCD(1, 682) = ( 1 x 682 ) / 682
GCD(1, 682) = 682 / 682
GCD(1, 682) = 1
GCD of 789, 924, 73, 682 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 789, 924, 73, 682?
GCD of 789, 924, 73, 682 is 1
2. Where do I get the detailed procedure to find GCD of 789, 924, 73, 682?
You can find a detailed procedure to find GCD of 789, 924, 73, 682 on our page.
3. How to find GCD of 789, 924, 73, 682 on a calculator?
You can find the GCD of 789, 924, 73, 682 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.