GCD of 105, 509, 72, 839 Calculator

Given Input numbers are 105, 509, 72, 839

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

Divisors of 105

List of positive integer divisors of 105 that divides 105 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 509

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

1, 509

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 839

List of positive integer divisors of 839 that divides 839 without a remainder.

1, 839

Greatest Common Divisior

We found the divisors of 105, 509, 72, 839 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 105, 509, 72, 839 is 1.

Therefore, GCD of numbers 105, 509, 72, 839 is 1

Given Input Data is 105, 509, 72, 839

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

Prime Factorization of 105 is 3 x 5 x 7

Prime Factorization of 509 is 509

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 839 is 839

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(105, 509) = 53445

GCD(105, 509) = ( 105 x 509 ) / 53445

GCD(105, 509) = 53445 / 53445

GCD(105, 509) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 72

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

LCM(1, 72) = 72

GCD(1, 72) = ( 1 x 72 ) / 72

GCD(1, 72) = 72 / 72

GCD(1, 72) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 839

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

LCM(1, 839) = 839

GCD(1, 839) = ( 1 x 839 ) / 839

GCD(1, 839) = 839 / 839

GCD(1, 839) = 1

GCD of 105, 509, 72, 839 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 894, 137, 46, 657
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• GCD of 732, 131, 12, 826

1. What is the GCD of 105, 509, 72, 839?

GCD of 105, 509, 72, 839 is 1

2. Where do I get the detailed procedure to find GCD of 105, 509, 72, 839?

You can find a detailed procedure to find GCD of 105, 509, 72, 839 on our page.

3. How to find GCD of 105, 509, 72, 839 on a calculator?

You can find the GCD of 105, 509, 72, 839 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.