GCD of 116, 398, 255, 137 Calculator

Given Input numbers are 116, 398, 255, 137

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

Divisors of 116

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

1, 2, 4, 29, 58, 116

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Divisors of 255

List of positive integer divisors of 255 that divides 255 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255

Divisors of 137

List of positive integer divisors of 137 that divides 137 without a remainder.

1, 137

Greatest Common Divisior

We found the divisors of 116, 398, 255, 137 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 116, 398, 255, 137 is 1.

Therefore, GCD of numbers 116, 398, 255, 137 is 1

Given Input Data is 116, 398, 255, 137

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

Prime Factorization of 116 is 2 x 2 x 29

Prime Factorization of 398 is 2 x 199

Prime Factorization of 255 is 3 x 5 x 17

Prime Factorization of 137 is 137

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(116, 398) = 23084

GCD(116, 398) = ( 116 x 398 ) / 23084

GCD(116, 398) = 46168 / 23084

GCD(116, 398) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 255

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

LCM(2, 255) = 510

GCD(2, 255) = ( 2 x 255 ) / 510

GCD(2, 255) = 510 / 510

GCD(2, 255) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 137

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

LCM(1, 137) = 137

GCD(1, 137) = ( 1 x 137 ) / 137

GCD(1, 137) = 137 / 137

GCD(1, 137) = 1

GCD of 116, 398, 255, 137 is 1

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1. What is the GCD of 116, 398, 255, 137?

GCD of 116, 398, 255, 137 is 1

2. Where do I get the detailed procedure to find GCD of 116, 398, 255, 137?

You can find a detailed procedure to find GCD of 116, 398, 255, 137 on our page.

3. How to find GCD of 116, 398, 255, 137 on a calculator?

You can find the GCD of 116, 398, 255, 137 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.