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 571, 145, 460 i.e. 1 largest integer that divides all the numbers equally.
GCD of 571, 145, 460 is 1
GCD(571, 145, 460) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 571, 145, 460 is 1
GCD(571, 145, 460) = 1
Given Input numbers are 571, 145, 460
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 571
List of positive integer divisors of 571 that divides 571 without a remainder.
1, 571
Divisors of 145
List of positive integer divisors of 145 that divides 145 without a remainder.
1, 5, 29, 145
Divisors of 460
List of positive integer divisors of 460 that divides 460 without a remainder.
1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
Greatest Common Divisior
We found the divisors of 571, 145, 460 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 571, 145, 460 is 1.
Therefore, GCD of numbers 571, 145, 460 is 1
Given Input Data is 571, 145, 460
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 571 is 571
Prime Factorization of 145 is 5 x 29
Prime Factorization of 460 is 2 x 2 x 5 x 23
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(571, 145) = 82795
GCD(571, 145) = ( 571 x 145 ) / 82795
GCD(571, 145) = 82795 / 82795
GCD(571, 145) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 460
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 460) = 460
GCD(1, 460) = ( 1 x 460 ) / 460
GCD(1, 460) = 460 / 460
GCD(1, 460) = 1
GCD of 571, 145, 460 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 571, 145, 460?
GCD of 571, 145, 460 is 1
2. Where do I get the detailed procedure to find GCD of 571, 145, 460?
You can find a detailed procedure to find GCD of 571, 145, 460 on our page.
3. How to find GCD of 571, 145, 460 on a calculator?
You can find the GCD of 571, 145, 460 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.