GCD of 537, 324, 742, 500 Calculator

Given Input numbers are 537, 324, 742, 500

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

Divisors of 537

List of positive integer divisors of 537 that divides 537 without a remainder.

1, 3, 179, 537

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 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Greatest Common Divisior

We found the divisors of 537, 324, 742, 500 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 537, 324, 742, 500 is 1.

Therefore, GCD of numbers 537, 324, 742, 500 is 1

Given Input Data is 537, 324, 742, 500

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

Prime Factorization of 537 is 3 x 179

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

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 500 is 2 x 2 x 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(537, 324) = 57996

GCD(537, 324) = ( 537 x 324 ) / 57996

GCD(537, 324) = 173988 / 57996

GCD(537, 324) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 742

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

LCM(3, 742) = 2226

GCD(3, 742) = ( 3 x 742 ) / 2226

GCD(3, 742) = 2226 / 2226

GCD(3, 742) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 500

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

LCM(1, 500) = 500

GCD(1, 500) = ( 1 x 500 ) / 500

GCD(1, 500) = 500 / 500

GCD(1, 500) = 1

GCD of 537, 324, 742, 500 is 1

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1. What is the GCD of 537, 324, 742, 500?

GCD of 537, 324, 742, 500 is 1

2. Where do I get the detailed procedure to find GCD of 537, 324, 742, 500?

You can find a detailed procedure to find GCD of 537, 324, 742, 500 on our page.

3. How to find GCD of 537, 324, 742, 500 on a calculator?

You can find the GCD of 537, 324, 742, 500 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.