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 261, 784, 424, 325 i.e. 1 largest integer that divides all the numbers equally.
GCD of 261, 784, 424, 325 is 1
GCD(261, 784, 424, 325) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 261, 784, 424, 325 is 1
GCD(261, 784, 424, 325) = 1
Given Input numbers are 261, 784, 424, 325
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 261
List of positive integer divisors of 261 that divides 261 without a remainder.
1, 3, 9, 29, 87, 261
Divisors of 784
List of positive integer divisors of 784 that divides 784 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
Divisors of 424
List of positive integer divisors of 424 that divides 424 without a remainder.
1, 2, 4, 8, 53, 106, 212, 424
Divisors of 325
List of positive integer divisors of 325 that divides 325 without a remainder.
1, 5, 13, 25, 65, 325
Greatest Common Divisior
We found the divisors of 261, 784, 424, 325 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 261, 784, 424, 325 is 1.
Therefore, GCD of numbers 261, 784, 424, 325 is 1
Given Input Data is 261, 784, 424, 325
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 261 is 3 x 3 x 29
Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 x 7
Prime Factorization of 424 is 2 x 2 x 2 x 53
Prime Factorization of 325 is 5 x 5 x 13
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(261, 784) = 204624
GCD(261, 784) = ( 261 x 784 ) / 204624
GCD(261, 784) = 204624 / 204624
GCD(261, 784) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 424
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 424) = 424
GCD(1, 424) = ( 1 x 424 ) / 424
GCD(1, 424) = 424 / 424
GCD(1, 424) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 325
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 325) = 325
GCD(1, 325) = ( 1 x 325 ) / 325
GCD(1, 325) = 325 / 325
GCD(1, 325) = 1
GCD of 261, 784, 424, 325 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 261, 784, 424, 325?
GCD of 261, 784, 424, 325 is 1
2. Where do I get the detailed procedure to find GCD of 261, 784, 424, 325?
You can find a detailed procedure to find GCD of 261, 784, 424, 325 on our page.
3. How to find GCD of 261, 784, 424, 325 on a calculator?
You can find the GCD of 261, 784, 424, 325 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.