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, 730, 89, 209 i.e. 1 largest integer that divides all the numbers equally.
GCD of 325, 730, 89, 209 is 1
GCD(325, 730, 89, 209) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 325, 730, 89, 209 is 1
GCD(325, 730, 89, 209) = 1
Given Input numbers are 325, 730, 89, 209
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 730
List of positive integer divisors of 730 that divides 730 without a remainder.
1, 2, 5, 10, 73, 146, 365, 730
Divisors of 89
List of positive integer divisors of 89 that divides 89 without a remainder.
1, 89
Divisors of 209
List of positive integer divisors of 209 that divides 209 without a remainder.
1, 11, 19, 209
Greatest Common Divisior
We found the divisors of 325, 730, 89, 209 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 325, 730, 89, 209 is 1.
Therefore, GCD of numbers 325, 730, 89, 209 is 1
Given Input Data is 325, 730, 89, 209
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 730 is 2 x 5 x 73
Prime Factorization of 89 is 89
Prime Factorization of 209 is 11 x 19
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, 730) = 47450
GCD(325, 730) = ( 325 x 730 ) / 47450
GCD(325, 730) = 237250 / 47450
GCD(325, 730) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 89
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 89) = 445
GCD(5, 89) = ( 5 x 89 ) / 445
GCD(5, 89) = 445 / 445
GCD(5, 89) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 209
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 209) = 209
GCD(1, 209) = ( 1 x 209 ) / 209
GCD(1, 209) = 209 / 209
GCD(1, 209) = 1
GCD of 325, 730, 89, 209 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 325, 730, 89, 209?
GCD of 325, 730, 89, 209 is 1
2. Where do I get the detailed procedure to find GCD of 325, 730, 89, 209?
You can find a detailed procedure to find GCD of 325, 730, 89, 209 on our page.
3. How to find GCD of 325, 730, 89, 209 on a calculator?
You can find the GCD of 325, 730, 89, 209 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.