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, 104, 83, 679 i.e. 1 largest integer that divides all the numbers equally.
GCD of 576, 104, 83, 679 is 1
GCD(576, 104, 83, 679) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 576, 104, 83, 679 is 1
GCD(576, 104, 83, 679) = 1
Given Input numbers are 576, 104, 83, 679
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 104
List of positive integer divisors of 104 that divides 104 without a remainder.
1, 2, 4, 8, 13, 26, 52, 104
Divisors of 83
List of positive integer divisors of 83 that divides 83 without a remainder.
1, 83
Divisors of 679
List of positive integer divisors of 679 that divides 679 without a remainder.
1, 7, 97, 679
Greatest Common Divisior
We found the divisors of 576, 104, 83, 679 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 576, 104, 83, 679 is 1.
Therefore, GCD of numbers 576, 104, 83, 679 is 1
Given Input Data is 576, 104, 83, 679
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 104 is 2 x 2 x 2 x 13
Prime Factorization of 83 is 83
Prime Factorization of 679 is 7 x 97
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, 104) = 7488
GCD(576, 104) = ( 576 x 104 ) / 7488
GCD(576, 104) = 59904 / 7488
GCD(576, 104) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 83
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 83) = 664
GCD(8, 83) = ( 8 x 83 ) / 664
GCD(8, 83) = 664 / 664
GCD(8, 83) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 679
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 679) = 679
GCD(1, 679) = ( 1 x 679 ) / 679
GCD(1, 679) = 679 / 679
GCD(1, 679) = 1
GCD of 576, 104, 83, 679 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 576, 104, 83, 679?
GCD of 576, 104, 83, 679 is 1
2. Where do I get the detailed procedure to find GCD of 576, 104, 83, 679?
You can find a detailed procedure to find GCD of 576, 104, 83, 679 on our page.
3. How to find GCD of 576, 104, 83, 679 on a calculator?
You can find the GCD of 576, 104, 83, 679 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.