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, 514, 359 i.e. 1 largest integer that divides all the numbers equally.
GCD of 576, 514, 359 is 1
GCD(576, 514, 359) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 576, 514, 359 is 1
GCD(576, 514, 359) = 1
Given Input numbers are 576, 514, 359
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 514
List of positive integer divisors of 514 that divides 514 without a remainder.
1, 2, 257, 514
Divisors of 359
List of positive integer divisors of 359 that divides 359 without a remainder.
1, 359
Greatest Common Divisior
We found the divisors of 576, 514, 359 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 576, 514, 359 is 1.
Therefore, GCD of numbers 576, 514, 359 is 1
Given Input Data is 576, 514, 359
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 514 is 2 x 257
Prime Factorization of 359 is 359
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, 514) = 148032
GCD(576, 514) = ( 576 x 514 ) / 148032
GCD(576, 514) = 296064 / 148032
GCD(576, 514) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 359
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 359) = 718
GCD(2, 359) = ( 2 x 359 ) / 718
GCD(2, 359) = 718 / 718
GCD(2, 359) = 1
GCD of 576, 514, 359 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 576, 514, 359?
GCD of 576, 514, 359 is 1
2. Where do I get the detailed procedure to find GCD of 576, 514, 359?
You can find a detailed procedure to find GCD of 576, 514, 359 on our page.
3. How to find GCD of 576, 514, 359 on a calculator?
You can find the GCD of 576, 514, 359 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.