GCD of 301, 509, 32, 538 Calculator

Given Input numbers are 301, 509, 32, 538

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

Divisors of 301

List of positive integer divisors of 301 that divides 301 without a remainder.

1, 7, 43, 301

Divisors of 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

Divisors of 538

List of positive integer divisors of 538 that divides 538 without a remainder.

1, 2, 269, 538

Greatest Common Divisior

We found the divisors of 301, 509, 32, 538 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 301, 509, 32, 538 is 1.

Therefore, GCD of numbers 301, 509, 32, 538 is 1

Given Input Data is 301, 509, 32, 538

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

Prime Factorization of 301 is 7 x 43

Prime Factorization of 509 is 509

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

Prime Factorization of 538 is 2 x 269

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(301, 509) = 153209

GCD(301, 509) = ( 301 x 509 ) / 153209

GCD(301, 509) = 153209 / 153209

GCD(301, 509) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 32

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

LCM(1, 32) = 32

GCD(1, 32) = ( 1 x 32 ) / 32

GCD(1, 32) = 32 / 32

GCD(1, 32) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 538

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

LCM(1, 538) = 538

GCD(1, 538) = ( 1 x 538 ) / 538

GCD(1, 538) = 538 / 538

GCD(1, 538) = 1

GCD of 301, 509, 32, 538 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 473, 688, 37, 179
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• GCD of 692, 547, 16, 447

1. What is the GCD of 301, 509, 32, 538?

GCD of 301, 509, 32, 538 is 1

2. Where do I get the detailed procedure to find GCD of 301, 509, 32, 538?

You can find a detailed procedure to find GCD of 301, 509, 32, 538 on our page.

3. How to find GCD of 301, 509, 32, 538 on a calculator?

You can find the GCD of 301, 509, 32, 538 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.