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 131, 578, 82, 569 i.e. 1 largest integer that divides all the numbers equally.
GCD of 131, 578, 82, 569 is 1
GCD(131, 578, 82, 569) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 131, 578, 82, 569 is 1
GCD(131, 578, 82, 569) = 1
Given Input numbers are 131, 578, 82, 569
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 131
List of positive integer divisors of 131 that divides 131 without a remainder.
1, 131
Divisors of 578
List of positive integer divisors of 578 that divides 578 without a remainder.
1, 2, 17, 34, 289, 578
Divisors of 82
List of positive integer divisors of 82 that divides 82 without a remainder.
1, 2, 41, 82
Divisors of 569
List of positive integer divisors of 569 that divides 569 without a remainder.
1, 569
Greatest Common Divisior
We found the divisors of 131, 578, 82, 569 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 131, 578, 82, 569 is 1.
Therefore, GCD of numbers 131, 578, 82, 569 is 1
Given Input Data is 131, 578, 82, 569
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 131 is 131
Prime Factorization of 578 is 2 x 17 x 17
Prime Factorization of 82 is 2 x 41
Prime Factorization of 569 is 569
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(131, 578) = 75718
GCD(131, 578) = ( 131 x 578 ) / 75718
GCD(131, 578) = 75718 / 75718
GCD(131, 578) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 82
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 82) = 82
GCD(1, 82) = ( 1 x 82 ) / 82
GCD(1, 82) = 82 / 82
GCD(1, 82) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 569
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 569) = 569
GCD(1, 569) = ( 1 x 569 ) / 569
GCD(1, 569) = 569 / 569
GCD(1, 569) = 1
GCD of 131, 578, 82, 569 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 131, 578, 82, 569?
GCD of 131, 578, 82, 569 is 1
2. Where do I get the detailed procedure to find GCD of 131, 578, 82, 569?
You can find a detailed procedure to find GCD of 131, 578, 82, 569 on our page.
3. How to find GCD of 131, 578, 82, 569 on a calculator?
You can find the GCD of 131, 578, 82, 569 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.