GCD of 537, 501, 129, 473 Calculator

Given Input numbers are 537, 501, 129, 473

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 501

List of positive integer divisors of 501 that divides 501 without a remainder.

1, 3, 167, 501

Divisors of 129

List of positive integer divisors of 129 that divides 129 without a remainder.

1, 3, 43, 129

Divisors of 473

List of positive integer divisors of 473 that divides 473 without a remainder.

1, 11, 43, 473

Greatest Common Divisior

We found the divisors of 537, 501, 129, 473 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 537, 501, 129, 473 is 1.

Therefore, GCD of numbers 537, 501, 129, 473 is 1

Given Input Data is 537, 501, 129, 473

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

Prime Factorization of 537 is 3 x 179

Prime Factorization of 501 is 3 x 167

Prime Factorization of 129 is 3 x 43

Prime Factorization of 473 is 11 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(537, 501) = 89679

GCD(537, 501) = ( 537 x 501 ) / 89679

GCD(537, 501) = 269037 / 89679

GCD(537, 501) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 129

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

LCM(3, 129) = 129

GCD(3, 129) = ( 3 x 129 ) / 129

GCD(3, 129) = 387 / 129

GCD(3, 129) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 473

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

LCM(3, 473) = 1419

GCD(3, 473) = ( 3 x 473 ) / 1419

GCD(3, 473) = 1419 / 1419

GCD(3, 473) = 1

GCD of 537, 501, 129, 473 is 1

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1. What is the GCD of 537, 501, 129, 473?

GCD of 537, 501, 129, 473 is 1

2. Where do I get the detailed procedure to find GCD of 537, 501, 129, 473?

You can find a detailed procedure to find GCD of 537, 501, 129, 473 on our page.

3. How to find GCD of 537, 501, 129, 473 on a calculator?

You can find the GCD of 537, 501, 129, 473 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.