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, 764, 331, 595 i.e. 1 largest integer that divides all the numbers equally.
GCD of 725, 764, 331, 595 is 1
GCD(725, 764, 331, 595) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 725, 764, 331, 595 is 1
GCD(725, 764, 331, 595) = 1
Given Input numbers are 725, 764, 331, 595
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 764
List of positive integer divisors of 764 that divides 764 without a remainder.
1, 2, 4, 191, 382, 764
Divisors of 331
List of positive integer divisors of 331 that divides 331 without a remainder.
1, 331
Divisors of 595
List of positive integer divisors of 595 that divides 595 without a remainder.
1, 5, 7, 17, 35, 85, 119, 595
Greatest Common Divisior
We found the divisors of 725, 764, 331, 595 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 725, 764, 331, 595 is 1.
Therefore, GCD of numbers 725, 764, 331, 595 is 1
Given Input Data is 725, 764, 331, 595
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 764 is 2 x 2 x 191
Prime Factorization of 331 is 331
Prime Factorization of 595 is 5 x 7 x 17
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, 764) = 553900
GCD(725, 764) = ( 725 x 764 ) / 553900
GCD(725, 764) = 553900 / 553900
GCD(725, 764) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 331
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 331) = 331
GCD(1, 331) = ( 1 x 331 ) / 331
GCD(1, 331) = 331 / 331
GCD(1, 331) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 595
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 595) = 595
GCD(1, 595) = ( 1 x 595 ) / 595
GCD(1, 595) = 595 / 595
GCD(1, 595) = 1
GCD of 725, 764, 331, 595 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 725, 764, 331, 595?
GCD of 725, 764, 331, 595 is 1
2. Where do I get the detailed procedure to find GCD of 725, 764, 331, 595?
You can find a detailed procedure to find GCD of 725, 764, 331, 595 on our page.
3. How to find GCD of 725, 764, 331, 595 on a calculator?
You can find the GCD of 725, 764, 331, 595 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.