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 328, 924, 861, 609 i.e. 1 largest integer that divides all the numbers equally.
GCD of 328, 924, 861, 609 is 1
GCD(328, 924, 861, 609) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 328, 924, 861, 609 is 1
GCD(328, 924, 861, 609) = 1
Given Input numbers are 328, 924, 861, 609
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 328
List of positive integer divisors of 328 that divides 328 without a remainder.
1, 2, 4, 8, 41, 82, 164, 328
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 861
List of positive integer divisors of 861 that divides 861 without a remainder.
1, 3, 7, 21, 41, 123, 287, 861
Divisors of 609
List of positive integer divisors of 609 that divides 609 without a remainder.
1, 3, 7, 21, 29, 87, 203, 609
Greatest Common Divisior
We found the divisors of 328, 924, 861, 609 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 328, 924, 861, 609 is 1.
Therefore, GCD of numbers 328, 924, 861, 609 is 1
Given Input Data is 328, 924, 861, 609
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 328 is 2 x 2 x 2 x 41
Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11
Prime Factorization of 861 is 3 x 7 x 41
Prime Factorization of 609 is 3 x 7 x 29
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(328, 924) = 75768
GCD(328, 924) = ( 328 x 924 ) / 75768
GCD(328, 924) = 303072 / 75768
GCD(328, 924) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 861
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 861) = 3444
GCD(4, 861) = ( 4 x 861 ) / 3444
GCD(4, 861) = 3444 / 3444
GCD(4, 861) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 609
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 609) = 609
GCD(1, 609) = ( 1 x 609 ) / 609
GCD(1, 609) = 609 / 609
GCD(1, 609) = 1
GCD of 328, 924, 861, 609 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 328, 924, 861, 609?
GCD of 328, 924, 861, 609 is 1
2. Where do I get the detailed procedure to find GCD of 328, 924, 861, 609?
You can find a detailed procedure to find GCD of 328, 924, 861, 609 on our page.
3. How to find GCD of 328, 924, 861, 609 on a calculator?
You can find the GCD of 328, 924, 861, 609 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.