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 725, 638, 571, 137 i.e. 1 largest integer that divides all the numbers equally.
GCD of 725, 638, 571, 137 is 1
GCD(725, 638, 571, 137) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 725, 638, 571, 137 is 1
GCD(725, 638, 571, 137) = 1
Given Input numbers are 725, 638, 571, 137
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 725
List of positive integer divisors of 725 that divides 725 without a remainder.
1, 5, 25, 29, 145, 725
Divisors of 638
List of positive integer divisors of 638 that divides 638 without a remainder.
1, 2, 11, 22, 29, 58, 319, 638
Divisors of 571
List of positive integer divisors of 571 that divides 571 without a remainder.
1, 571
Divisors of 137
List of positive integer divisors of 137 that divides 137 without a remainder.
1, 137
Greatest Common Divisior
We found the divisors of 725, 638, 571, 137 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 725, 638, 571, 137 is 1.
Therefore, GCD of numbers 725, 638, 571, 137 is 1
Given Input Data is 725, 638, 571, 137
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 725 is 5 x 5 x 29
Prime Factorization of 638 is 2 x 11 x 29
Prime Factorization of 571 is 571
Prime Factorization of 137 is 137
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(725, 638) = 15950
GCD(725, 638) = ( 725 x 638 ) / 15950
GCD(725, 638) = 462550 / 15950
GCD(725, 638) = 29
Step2:
Here we consider the GCD from the above i.e. 29 as first number and the next as 571
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(29, 571) = 16559
GCD(29, 571) = ( 29 x 571 ) / 16559
GCD(29, 571) = 16559 / 16559
GCD(29, 571) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 137
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 137) = 137
GCD(1, 137) = ( 1 x 137 ) / 137
GCD(1, 137) = 137 / 137
GCD(1, 137) = 1
GCD of 725, 638, 571, 137 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 725, 638, 571, 137?
GCD of 725, 638, 571, 137 is 1
2. Where do I get the detailed procedure to find GCD of 725, 638, 571, 137?
You can find a detailed procedure to find GCD of 725, 638, 571, 137 on our page.
3. How to find GCD of 725, 638, 571, 137 on a calculator?
You can find the GCD of 725, 638, 571, 137 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.