GCD of 813, 138, 98, 459 Calculator

Given Input numbers are 813, 138, 98, 459

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

Divisors of 813

List of positive integer divisors of 813 that divides 813 without a remainder.

1, 3, 271, 813

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 98

List of positive integer divisors of 98 that divides 98 without a remainder.

1, 2, 7, 14, 49, 98

Divisors of 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

Greatest Common Divisior

We found the divisors of 813, 138, 98, 459 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 813, 138, 98, 459 is 1.

Therefore, GCD of numbers 813, 138, 98, 459 is 1

Given Input Data is 813, 138, 98, 459

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

Prime Factorization of 813 is 3 x 271

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 459 is 3 x 3 x 3 x 17

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(813, 138) = 37398

GCD(813, 138) = ( 813 x 138 ) / 37398

GCD(813, 138) = 112194 / 37398

GCD(813, 138) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 98

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

LCM(3, 98) = 294

GCD(3, 98) = ( 3 x 98 ) / 294

GCD(3, 98) = 294 / 294

GCD(3, 98) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 459

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

LCM(1, 459) = 459

GCD(1, 459) = ( 1 x 459 ) / 459

GCD(1, 459) = 459 / 459

GCD(1, 459) = 1

GCD of 813, 138, 98, 459 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 733, 904, 28, 167
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• GCD of 827, 525, 79, 827
• GCD of 717, 785, 52, 611
• GCD of 584, 474, 23, 647

1. What is the GCD of 813, 138, 98, 459?

GCD of 813, 138, 98, 459 is 1

2. Where do I get the detailed procedure to find GCD of 813, 138, 98, 459?

You can find a detailed procedure to find GCD of 813, 138, 98, 459 on our page.

3. How to find GCD of 813, 138, 98, 459 on a calculator?

You can find the GCD of 813, 138, 98, 459 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.