GCD of 328, 744, 468, 925 Calculator

Given Input numbers are 328, 744, 468, 925

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 328

List of positive integer divisors of 328 that divides 328 without a remainder.

1, 2, 4, 8, 41, 82, 164, 328

Divisors of 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

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 925

List of positive integer divisors of 925 that divides 925 without a remainder.

1, 5, 25, 37, 185, 925

Greatest Common Divisior

We found the divisors of 328, 744, 468, 925 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 328, 744, 468, 925 is 1.

Therefore, GCD of numbers 328, 744, 468, 925 is 1

Given Input Data is 328, 744, 468, 925

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 328 is 2 x 2 x 2 x 41

Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31

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

Prime Factorization of 925 is 5 x 5 x 37

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(328, 744) = 30504

GCD(328, 744) = ( 328 x 744 ) / 30504

GCD(328, 744) = 244032 / 30504

GCD(328, 744) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 468

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

LCM(8, 468) = 936

GCD(8, 468) = ( 8 x 468 ) / 936

GCD(8, 468) = 3744 / 936

GCD(8, 468) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 925

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

LCM(4, 925) = 3700

GCD(4, 925) = ( 4 x 925 ) / 3700

GCD(4, 925) = 3700 / 3700

GCD(4, 925) = 1

GCD of 328, 744, 468, 925 is 1

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1. What is the GCD of 328, 744, 468, 925?

GCD of 328, 744, 468, 925 is 1

2. Where do I get the detailed procedure to find GCD of 328, 744, 468, 925?

You can find a detailed procedure to find GCD of 328, 744, 468, 925 on our page.

3. How to find GCD of 328, 744, 468, 925 on a calculator?

You can find the GCD of 328, 744, 468, 925 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.