GCD of 538, 251, 99, 791 Calculator

Given Input numbers are 538, 251, 99, 791

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

Divisors of 538

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

1, 2, 269, 538

Divisors of 251

List of positive integer divisors of 251 that divides 251 without a remainder.

1, 251

Divisors of 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

Divisors of 791

List of positive integer divisors of 791 that divides 791 without a remainder.

1, 7, 113, 791

Greatest Common Divisior

We found the divisors of 538, 251, 99, 791 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 538, 251, 99, 791 is 1.

Therefore, GCD of numbers 538, 251, 99, 791 is 1

Given Input Data is 538, 251, 99, 791

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

Prime Factorization of 538 is 2 x 269

Prime Factorization of 251 is 251

Prime Factorization of 99 is 3 x 3 x 11

Prime Factorization of 791 is 7 x 113

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(538, 251) = 135038

GCD(538, 251) = ( 538 x 251 ) / 135038

GCD(538, 251) = 135038 / 135038

GCD(538, 251) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 99

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

LCM(1, 99) = 99

GCD(1, 99) = ( 1 x 99 ) / 99

GCD(1, 99) = 99 / 99

GCD(1, 99) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 791

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

LCM(1, 791) = 791

GCD(1, 791) = ( 1 x 791 ) / 791

GCD(1, 791) = 791 / 791

GCD(1, 791) = 1

GCD of 538, 251, 99, 791 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 351, 585, 90, 814
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• GCD of 340, 607, 52, 334

1. What is the GCD of 538, 251, 99, 791?

GCD of 538, 251, 99, 791 is 1

2. Where do I get the detailed procedure to find GCD of 538, 251, 99, 791?

You can find a detailed procedure to find GCD of 538, 251, 99, 791 on our page.

3. How to find GCD of 538, 251, 99, 791 on a calculator?

You can find the GCD of 538, 251, 99, 791 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.