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 39, 756, 321, 573 i.e. 3 largest integer that divides all the numbers equally.
GCD of 39, 756, 321, 573 is 3
GCD(39, 756, 321, 573) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 39, 756, 321, 573 is 3
GCD(39, 756, 321, 573) = 3
Given Input numbers are 39, 756, 321, 573
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 39
List of positive integer divisors of 39 that divides 39 without a remainder.
1, 3, 13, 39
Divisors of 756
List of positive integer divisors of 756 that divides 756 without a remainder.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
Divisors of 321
List of positive integer divisors of 321 that divides 321 without a remainder.
1, 3, 107, 321
Divisors of 573
List of positive integer divisors of 573 that divides 573 without a remainder.
1, 3, 191, 573
Greatest Common Divisior
We found the divisors of 39, 756, 321, 573 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 39, 756, 321, 573 is 3.
Therefore, GCD of numbers 39, 756, 321, 573 is 3
Given Input Data is 39, 756, 321, 573
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 39 is 3 x 13
Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7
Prime Factorization of 321 is 3 x 107
Prime Factorization of 573 is 3 x 191
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(39, 756) = 9828
GCD(39, 756) = ( 39 x 756 ) / 9828
GCD(39, 756) = 29484 / 9828
GCD(39, 756) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 321
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 321) = 321
GCD(3, 321) = ( 3 x 321 ) / 321
GCD(3, 321) = 963 / 321
GCD(3, 321) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 573
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 573) = 573
GCD(3, 573) = ( 3 x 573 ) / 573
GCD(3, 573) = 1719 / 573
GCD(3, 573) = 3
GCD of 39, 756, 321, 573 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 39, 756, 321, 573?
GCD of 39, 756, 321, 573 is 3
2. Where do I get the detailed procedure to find GCD of 39, 756, 321, 573?
You can find a detailed procedure to find GCD of 39, 756, 321, 573 on our page.
3. How to find GCD of 39, 756, 321, 573 on a calculator?
You can find the GCD of 39, 756, 321, 573 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.