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 573, 789, 18, 765 i.e. 3 largest integer that divides all the numbers equally.
GCD of 573, 789, 18, 765 is 3
GCD(573, 789, 18, 765) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 573, 789, 18, 765 is 3
GCD(573, 789, 18, 765) = 3
Given Input numbers are 573, 789, 18, 765
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 573
List of positive integer divisors of 573 that divides 573 without a remainder.
1, 3, 191, 573
Divisors of 789
List of positive integer divisors of 789 that divides 789 without a remainder.
1, 3, 263, 789
Divisors of 18
List of positive integer divisors of 18 that divides 18 without a remainder.
1, 2, 3, 6, 9, 18
Divisors of 765
List of positive integer divisors of 765 that divides 765 without a remainder.
1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
Greatest Common Divisior
We found the divisors of 573, 789, 18, 765 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 573, 789, 18, 765 is 3.
Therefore, GCD of numbers 573, 789, 18, 765 is 3
Given Input Data is 573, 789, 18, 765
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 573 is 3 x 191
Prime Factorization of 789 is 3 x 263
Prime Factorization of 18 is 2 x 3 x 3
Prime Factorization of 765 is 3 x 3 x 5 x 17
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(573, 789) = 150699
GCD(573, 789) = ( 573 x 789 ) / 150699
GCD(573, 789) = 452097 / 150699
GCD(573, 789) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 18
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 18) = 18
GCD(3, 18) = ( 3 x 18 ) / 18
GCD(3, 18) = 54 / 18
GCD(3, 18) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 765
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 765) = 765
GCD(3, 765) = ( 3 x 765 ) / 765
GCD(3, 765) = 2295 / 765
GCD(3, 765) = 3
GCD of 573, 789, 18, 765 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 573, 789, 18, 765?
GCD of 573, 789, 18, 765 is 3
2. Where do I get the detailed procedure to find GCD of 573, 789, 18, 765?
You can find a detailed procedure to find GCD of 573, 789, 18, 765 on our page.
3. How to find GCD of 573, 789, 18, 765 on a calculator?
You can find the GCD of 573, 789, 18, 765 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.