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 387, 564, 219, 335 i.e. 1 largest integer that divides all the numbers equally.
GCD of 387, 564, 219, 335 is 1
GCD(387, 564, 219, 335) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 387, 564, 219, 335 is 1
GCD(387, 564, 219, 335) = 1
Given Input numbers are 387, 564, 219, 335
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 387
List of positive integer divisors of 387 that divides 387 without a remainder.
1, 3, 9, 43, 129, 387
Divisors of 564
List of positive integer divisors of 564 that divides 564 without a remainder.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
Divisors of 219
List of positive integer divisors of 219 that divides 219 without a remainder.
1, 3, 73, 219
Divisors of 335
List of positive integer divisors of 335 that divides 335 without a remainder.
1, 5, 67, 335
Greatest Common Divisior
We found the divisors of 387, 564, 219, 335 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 387, 564, 219, 335 is 1.
Therefore, GCD of numbers 387, 564, 219, 335 is 1
Given Input Data is 387, 564, 219, 335
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 387 is 3 x 3 x 43
Prime Factorization of 564 is 2 x 2 x 3 x 47
Prime Factorization of 219 is 3 x 73
Prime Factorization of 335 is 5 x 67
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(387, 564) = 72756
GCD(387, 564) = ( 387 x 564 ) / 72756
GCD(387, 564) = 218268 / 72756
GCD(387, 564) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 219
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 219) = 219
GCD(3, 219) = ( 3 x 219 ) / 219
GCD(3, 219) = 657 / 219
GCD(3, 219) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 335
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 335) = 1005
GCD(3, 335) = ( 3 x 335 ) / 1005
GCD(3, 335) = 1005 / 1005
GCD(3, 335) = 1
GCD of 387, 564, 219, 335 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 387, 564, 219, 335?
GCD of 387, 564, 219, 335 is 1
2. Where do I get the detailed procedure to find GCD of 387, 564, 219, 335?
You can find a detailed procedure to find GCD of 387, 564, 219, 335 on our page.
3. How to find GCD of 387, 564, 219, 335 on a calculator?
You can find the GCD of 387, 564, 219, 335 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.