GCD of 81, 509, 838, 112 Calculator

Given Input numbers are 81, 509, 838, 112

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

Divisors of 81

List of positive integer divisors of 81 that divides 81 without a remainder.

1, 3, 9, 27, 81

Divisors of 509

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

1, 509

Divisors of 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

Divisors of 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Greatest Common Divisior

We found the divisors of 81, 509, 838, 112 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 81, 509, 838, 112 is 1.

Therefore, GCD of numbers 81, 509, 838, 112 is 1

Given Input Data is 81, 509, 838, 112

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

Prime Factorization of 81 is 3 x 3 x 3 x 3

Prime Factorization of 509 is 509

Prime Factorization of 838 is 2 x 419

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

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(81, 509) = 41229

GCD(81, 509) = ( 81 x 509 ) / 41229

GCD(81, 509) = 41229 / 41229

GCD(81, 509) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 838

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

LCM(1, 838) = 838

GCD(1, 838) = ( 1 x 838 ) / 838

GCD(1, 838) = 838 / 838

GCD(1, 838) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 112

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

LCM(1, 112) = 112

GCD(1, 112) = ( 1 x 112 ) / 112

GCD(1, 112) = 112 / 112

GCD(1, 112) = 1

GCD of 81, 509, 838, 112 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 57, 398, 459, 330
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• GCD of 68, 337, 645, 337

1. What is the GCD of 81, 509, 838, 112?

GCD of 81, 509, 838, 112 is 1

2. Where do I get the detailed procedure to find GCD of 81, 509, 838, 112?

You can find a detailed procedure to find GCD of 81, 509, 838, 112 on our page.

3. How to find GCD of 81, 509, 838, 112 on a calculator?

You can find the GCD of 81, 509, 838, 112 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.