GCD of 725, 874, 18, 324 Calculator

Given Input numbers are 725, 874, 18, 324

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

Divisors of 725

List of positive integer divisors of 725 that divides 725 without a remainder.

1, 5, 25, 29, 145, 725

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 324

List of positive integer divisors of 324 that divides 324 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Greatest Common Divisior

We found the divisors of 725, 874, 18, 324 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 725, 874, 18, 324 is 1.

Therefore, GCD of numbers 725, 874, 18, 324 is 1

Given Input Data is 725, 874, 18, 324

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

Prime Factorization of 725 is 5 x 5 x 29

Prime Factorization of 874 is 2 x 19 x 23

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 324 is 2 x 2 x 3 x 3 x 3 x 3

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(725, 874) = 633650

GCD(725, 874) = ( 725 x 874 ) / 633650

GCD(725, 874) = 633650 / 633650

GCD(725, 874) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 18

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

LCM(1, 18) = 18

GCD(1, 18) = ( 1 x 18 ) / 18

GCD(1, 18) = 18 / 18

GCD(1, 18) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 324

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

LCM(1, 324) = 324

GCD(1, 324) = ( 1 x 324 ) / 324

GCD(1, 324) = 324 / 324

GCD(1, 324) = 1

GCD of 725, 874, 18, 324 is 1

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1. What is the GCD of 725, 874, 18, 324?

GCD of 725, 874, 18, 324 is 1

2. Where do I get the detailed procedure to find GCD of 725, 874, 18, 324?

You can find a detailed procedure to find GCD of 725, 874, 18, 324 on our page.

3. How to find GCD of 725, 874, 18, 324 on a calculator?

You can find the GCD of 725, 874, 18, 324 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.