GCD of 325, 289, 468, 774 Calculator

Given Input numbers are 325, 289, 468, 774

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 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Divisors of 468

List of positive integer divisors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Greatest Common Divisior

We found the divisors of 325, 289, 468, 774 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 325, 289, 468, 774 is 1.

Therefore, GCD of numbers 325, 289, 468, 774 is 1

Given Input Data is 325, 289, 468, 774

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 289 is 17 x 17

Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13

Prime Factorization of 774 is 2 x 3 x 3 x 43

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, 289) = 93925

GCD(325, 289) = ( 325 x 289 ) / 93925

GCD(325, 289) = 93925 / 93925

GCD(325, 289) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 468

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 468) = 468

GCD(1, 468) = ( 1 x 468 ) / 468

GCD(1, 468) = 468 / 468

GCD(1, 468) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 774

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 774) = 774

GCD(1, 774) = ( 1 x 774 ) / 774

GCD(1, 774) = 774 / 774

GCD(1, 774) = 1

GCD of 325, 289, 468, 774 is 1

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1. What is the GCD of 325, 289, 468, 774?

GCD of 325, 289, 468, 774 is 1

2. Where do I get the detailed procedure to find GCD of 325, 289, 468, 774?

You can find a detailed procedure to find GCD of 325, 289, 468, 774 on our page.

3. How to find GCD of 325, 289, 468, 774 on a calculator?

You can find the GCD of 325, 289, 468, 774 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.