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 259, 423, 572, 601 i.e. 1 largest integer that divides all the numbers equally.
GCD of 259, 423, 572, 601 is 1
GCD(259, 423, 572, 601) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 259, 423, 572, 601 is 1
GCD(259, 423, 572, 601) = 1
Given Input numbers are 259, 423, 572, 601
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 259
List of positive integer divisors of 259 that divides 259 without a remainder.
1, 7, 37, 259
Divisors of 423
List of positive integer divisors of 423 that divides 423 without a remainder.
1, 3, 9, 47, 141, 423
Divisors of 572
List of positive integer divisors of 572 that divides 572 without a remainder.
1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
Divisors of 601
List of positive integer divisors of 601 that divides 601 without a remainder.
1, 601
Greatest Common Divisior
We found the divisors of 259, 423, 572, 601 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 259, 423, 572, 601 is 1.
Therefore, GCD of numbers 259, 423, 572, 601 is 1
Given Input Data is 259, 423, 572, 601
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 259 is 7 x 37
Prime Factorization of 423 is 3 x 3 x 47
Prime Factorization of 572 is 2 x 2 x 11 x 13
Prime Factorization of 601 is 601
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(259, 423) = 109557
GCD(259, 423) = ( 259 x 423 ) / 109557
GCD(259, 423) = 109557 / 109557
GCD(259, 423) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 572
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 572) = 572
GCD(1, 572) = ( 1 x 572 ) / 572
GCD(1, 572) = 572 / 572
GCD(1, 572) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 601
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 601) = 601
GCD(1, 601) = ( 1 x 601 ) / 601
GCD(1, 601) = 601 / 601
GCD(1, 601) = 1
GCD of 259, 423, 572, 601 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 259, 423, 572, 601?
GCD of 259, 423, 572, 601 is 1
2. Where do I get the detailed procedure to find GCD of 259, 423, 572, 601?
You can find a detailed procedure to find GCD of 259, 423, 572, 601 on our page.
3. How to find GCD of 259, 423, 572, 601 on a calculator?
You can find the GCD of 259, 423, 572, 601 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.