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 325, 334, 691, 509 i.e. 1 largest integer that divides all the numbers equally.
GCD of 325, 334, 691, 509 is 1
GCD(325, 334, 691, 509) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 325, 334, 691, 509 is 1
GCD(325, 334, 691, 509) = 1
Given Input numbers are 325, 334, 691, 509
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 325
List of positive integer divisors of 325 that divides 325 without a remainder.
1, 5, 13, 25, 65, 325
Divisors of 334
List of positive integer divisors of 334 that divides 334 without a remainder.
1, 2, 167, 334
Divisors of 691
List of positive integer divisors of 691 that divides 691 without a remainder.
1, 691
Divisors of 509
List of positive integer divisors of 509 that divides 509 without a remainder.
1, 509
Greatest Common Divisior
We found the divisors of 325, 334, 691, 509 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 325, 334, 691, 509 is 1.
Therefore, GCD of numbers 325, 334, 691, 509 is 1
Given Input Data is 325, 334, 691, 509
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 325 is 5 x 5 x 13
Prime Factorization of 334 is 2 x 167
Prime Factorization of 691 is 691
Prime Factorization of 509 is 509
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(325, 334) = 108550
GCD(325, 334) = ( 325 x 334 ) / 108550
GCD(325, 334) = 108550 / 108550
GCD(325, 334) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 691
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 691) = 691
GCD(1, 691) = ( 1 x 691 ) / 691
GCD(1, 691) = 691 / 691
GCD(1, 691) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 509
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 509) = 509
GCD(1, 509) = ( 1 x 509 ) / 509
GCD(1, 509) = 509 / 509
GCD(1, 509) = 1
GCD of 325, 334, 691, 509 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 325, 334, 691, 509?
GCD of 325, 334, 691, 509 is 1
2. Where do I get the detailed procedure to find GCD of 325, 334, 691, 509?
You can find a detailed procedure to find GCD of 325, 334, 691, 509 on our page.
3. How to find GCD of 325, 334, 691, 509 on a calculator?
You can find the GCD of 325, 334, 691, 509 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.