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, 909, 500, 237 i.e. 1 largest integer that divides all the numbers equally.
GCD of 325, 909, 500, 237 is 1
GCD(325, 909, 500, 237) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 325, 909, 500, 237 is 1
GCD(325, 909, 500, 237) = 1
Given Input numbers are 325, 909, 500, 237
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 909
List of positive integer divisors of 909 that divides 909 without a remainder.
1, 3, 9, 101, 303, 909
Divisors of 500
List of positive integer divisors of 500 that divides 500 without a remainder.
1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
Divisors of 237
List of positive integer divisors of 237 that divides 237 without a remainder.
1, 3, 79, 237
Greatest Common Divisior
We found the divisors of 325, 909, 500, 237 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 325, 909, 500, 237 is 1.
Therefore, GCD of numbers 325, 909, 500, 237 is 1
Given Input Data is 325, 909, 500, 237
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 909 is 3 x 3 x 101
Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5
Prime Factorization of 237 is 3 x 79
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, 909) = 295425
GCD(325, 909) = ( 325 x 909 ) / 295425
GCD(325, 909) = 295425 / 295425
GCD(325, 909) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 500
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 500) = 500
GCD(1, 500) = ( 1 x 500 ) / 500
GCD(1, 500) = 500 / 500
GCD(1, 500) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 237
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 237) = 237
GCD(1, 237) = ( 1 x 237 ) / 237
GCD(1, 237) = 237 / 237
GCD(1, 237) = 1
GCD of 325, 909, 500, 237 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 325, 909, 500, 237?
GCD of 325, 909, 500, 237 is 1
2. Where do I get the detailed procedure to find GCD of 325, 909, 500, 237?
You can find a detailed procedure to find GCD of 325, 909, 500, 237 on our page.
3. How to find GCD of 325, 909, 500, 237 on a calculator?
You can find the GCD of 325, 909, 500, 237 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.