GCD of 724, 324, 40, 125 Calculator

Given Input numbers are 724, 324, 40, 125

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

Divisors of 724

List of positive integer divisors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

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

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 125

List of positive integer divisors of 125 that divides 125 without a remainder.

1, 5, 25, 125

Greatest Common Divisior

We found the divisors of 724, 324, 40, 125 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 724, 324, 40, 125 is 1.

Therefore, GCD of numbers 724, 324, 40, 125 is 1

Given Input Data is 724, 324, 40, 125

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

Prime Factorization of 724 is 2 x 2 x 181

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

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 125 is 5 x 5 x 5

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(724, 324) = 58644

GCD(724, 324) = ( 724 x 324 ) / 58644

GCD(724, 324) = 234576 / 58644

GCD(724, 324) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 40

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

LCM(4, 40) = 40

GCD(4, 40) = ( 4 x 40 ) / 40

GCD(4, 40) = 160 / 40

GCD(4, 40) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 125

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

LCM(4, 125) = 500

GCD(4, 125) = ( 4 x 125 ) / 500

GCD(4, 125) = 500 / 500

GCD(4, 125) = 1

GCD of 724, 324, 40, 125 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 410, 403, 49, 356
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• GCD of 422, 118, 95, 837
• GCD of 527, 287, 18, 976
• GCD of 264, 253, 18, 607

1. What is the GCD of 724, 324, 40, 125?

GCD of 724, 324, 40, 125 is 1

2. Where do I get the detailed procedure to find GCD of 724, 324, 40, 125?

You can find a detailed procedure to find GCD of 724, 324, 40, 125 on our page.

3. How to find GCD of 724, 324, 40, 125 on a calculator?

You can find the GCD of 724, 324, 40, 125 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.