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, 124, 410, 289 i.e. 1 largest integer that divides all the numbers equally.
GCD of 325, 124, 410, 289 is 1
GCD(325, 124, 410, 289) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 325, 124, 410, 289 is 1
GCD(325, 124, 410, 289) = 1
Given Input numbers are 325, 124, 410, 289
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 124
List of positive integer divisors of 124 that divides 124 without a remainder.
1, 2, 4, 31, 62, 124
Divisors of 410
List of positive integer divisors of 410 that divides 410 without a remainder.
1, 2, 5, 10, 41, 82, 205, 410
Divisors of 289
List of positive integer divisors of 289 that divides 289 without a remainder.
1, 17, 289
Greatest Common Divisior
We found the divisors of 325, 124, 410, 289 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 325, 124, 410, 289 is 1.
Therefore, GCD of numbers 325, 124, 410, 289 is 1
Given Input Data is 325, 124, 410, 289
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 124 is 2 x 2 x 31
Prime Factorization of 410 is 2 x 5 x 41
Prime Factorization of 289 is 17 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(325, 124) = 40300
GCD(325, 124) = ( 325 x 124 ) / 40300
GCD(325, 124) = 40300 / 40300
GCD(325, 124) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 410
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 410) = 410
GCD(1, 410) = ( 1 x 410 ) / 410
GCD(1, 410) = 410 / 410
GCD(1, 410) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 289
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 289) = 289
GCD(1, 289) = ( 1 x 289 ) / 289
GCD(1, 289) = 289 / 289
GCD(1, 289) = 1
GCD of 325, 124, 410, 289 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 325, 124, 410, 289?
GCD of 325, 124, 410, 289 is 1
2. Where do I get the detailed procedure to find GCD of 325, 124, 410, 289?
You can find a detailed procedure to find GCD of 325, 124, 410, 289 on our page.
3. How to find GCD of 325, 124, 410, 289 on a calculator?
You can find the GCD of 325, 124, 410, 289 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.