GCD of 538, 792, 816, 761 Calculator

Given Input numbers are 538, 792, 816, 761

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 792

List of positive integer divisors of 792 that divides 792 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Divisors of 816

List of positive integer divisors of 816 that divides 816 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 761

List of positive integer divisors of 761 that divides 761 without a remainder.

1, 761

Greatest Common Divisior

We found the divisors of 538, 792, 816, 761 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 538, 792, 816, 761 is 1.

Therefore, GCD of numbers 538, 792, 816, 761 is 1

Given Input Data is 538, 792, 816, 761

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

Prime Factorization of 538 is 2 x 269

Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11

Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17

Prime Factorization of 761 is 761

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, 792) = 213048

GCD(538, 792) = ( 538 x 792 ) / 213048

GCD(538, 792) = 426096 / 213048

GCD(538, 792) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 816

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

LCM(2, 816) = 816

GCD(2, 816) = ( 2 x 816 ) / 816

GCD(2, 816) = 1632 / 816

GCD(2, 816) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 761

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

LCM(2, 761) = 1522

GCD(2, 761) = ( 2 x 761 ) / 1522

GCD(2, 761) = 1522 / 1522

GCD(2, 761) = 1

GCD of 538, 792, 816, 761 is 1

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1. What is the GCD of 538, 792, 816, 761?

GCD of 538, 792, 816, 761 is 1

2. Where do I get the detailed procedure to find GCD of 538, 792, 816, 761?

You can find a detailed procedure to find GCD of 538, 792, 816, 761 on our page.

3. How to find GCD of 538, 792, 816, 761 on a calculator?

You can find the GCD of 538, 792, 816, 761 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.