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 576, 616, 323, 675 i.e. 1 largest integer that divides all the numbers equally.
GCD of 576, 616, 323, 675 is 1
GCD(576, 616, 323, 675) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 576, 616, 323, 675 is 1
GCD(576, 616, 323, 675) = 1
Given Input numbers are 576, 616, 323, 675
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 576
List of positive integer divisors of 576 that divides 576 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
Divisors of 616
List of positive integer divisors of 616 that divides 616 without a remainder.
1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
Divisors of 323
List of positive integer divisors of 323 that divides 323 without a remainder.
1, 17, 19, 323
Divisors of 675
List of positive integer divisors of 675 that divides 675 without a remainder.
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
Greatest Common Divisior
We found the divisors of 576, 616, 323, 675 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 576, 616, 323, 675 is 1.
Therefore, GCD of numbers 576, 616, 323, 675 is 1
Given Input Data is 576, 616, 323, 675
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11
Prime Factorization of 323 is 17 x 19
Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5
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(576, 616) = 44352
GCD(576, 616) = ( 576 x 616 ) / 44352
GCD(576, 616) = 354816 / 44352
GCD(576, 616) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 323
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 323) = 2584
GCD(8, 323) = ( 8 x 323 ) / 2584
GCD(8, 323) = 2584 / 2584
GCD(8, 323) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 675
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 675) = 675
GCD(1, 675) = ( 1 x 675 ) / 675
GCD(1, 675) = 675 / 675
GCD(1, 675) = 1
GCD of 576, 616, 323, 675 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 576, 616, 323, 675?
GCD of 576, 616, 323, 675 is 1
2. Where do I get the detailed procedure to find GCD of 576, 616, 323, 675?
You can find a detailed procedure to find GCD of 576, 616, 323, 675 on our page.
3. How to find GCD of 576, 616, 323, 675 on a calculator?
You can find the GCD of 576, 616, 323, 675 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.