GCD of 855, 116, 50, 542 Calculator

Given Input numbers are 855, 116, 50, 542

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

Divisors of 855

List of positive integer divisors of 855 that divides 855 without a remainder.

1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

Divisors of 116

List of positive integer divisors of 116 that divides 116 without a remainder.

1, 2, 4, 29, 58, 116

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 542

List of positive integer divisors of 542 that divides 542 without a remainder.

1, 2, 271, 542

Greatest Common Divisior

We found the divisors of 855, 116, 50, 542 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 855, 116, 50, 542 is 1.

Therefore, GCD of numbers 855, 116, 50, 542 is 1

Given Input Data is 855, 116, 50, 542

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

Prime Factorization of 855 is 3 x 3 x 5 x 19

Prime Factorization of 116 is 2 x 2 x 29

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 542 is 2 x 271

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(855, 116) = 99180

GCD(855, 116) = ( 855 x 116 ) / 99180

GCD(855, 116) = 99180 / 99180

GCD(855, 116) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 50

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

LCM(1, 50) = 50

GCD(1, 50) = ( 1 x 50 ) / 50

GCD(1, 50) = 50 / 50

GCD(1, 50) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 542

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

LCM(1, 542) = 542

GCD(1, 542) = ( 1 x 542 ) / 542

GCD(1, 542) = 542 / 542

GCD(1, 542) = 1

GCD of 855, 116, 50, 542 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 680, 174, 99, 768
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• GCD of 785, 115, 89, 898

1. What is the GCD of 855, 116, 50, 542?

GCD of 855, 116, 50, 542 is 1

2. Where do I get the detailed procedure to find GCD of 855, 116, 50, 542?

You can find a detailed procedure to find GCD of 855, 116, 50, 542 on our page.

3. How to find GCD of 855, 116, 50, 542 on a calculator?

You can find the GCD of 855, 116, 50, 542 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.