GCD of 199, 137, 376, 559 Calculator

Given Input numbers are 199, 137, 376, 559

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

Divisors of 199

List of positive integer divisors of 199 that divides 199 without a remainder.

1, 199

Divisors of 137

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

1, 137

Divisors of 376

List of positive integer divisors of 376 that divides 376 without a remainder.

1, 2, 4, 8, 47, 94, 188, 376

Divisors of 559

List of positive integer divisors of 559 that divides 559 without a remainder.

1, 13, 43, 559

Greatest Common Divisior

We found the divisors of 199, 137, 376, 559 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 199, 137, 376, 559 is 1.

Therefore, GCD of numbers 199, 137, 376, 559 is 1

Given Input Data is 199, 137, 376, 559

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

Prime Factorization of 199 is 199

Prime Factorization of 137 is 137

Prime Factorization of 376 is 2 x 2 x 2 x 47

Prime Factorization of 559 is 13 x 43

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(199, 137) = 27263

GCD(199, 137) = ( 199 x 137 ) / 27263

GCD(199, 137) = 27263 / 27263

GCD(199, 137) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 376

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

LCM(1, 376) = 376

GCD(1, 376) = ( 1 x 376 ) / 376

GCD(1, 376) = 376 / 376

GCD(1, 376) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 559

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

LCM(1, 559) = 559

GCD(1, 559) = ( 1 x 559 ) / 559

GCD(1, 559) = 559 / 559

GCD(1, 559) = 1

GCD of 199, 137, 376, 559 is 1

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1. What is the GCD of 199, 137, 376, 559?

GCD of 199, 137, 376, 559 is 1

2. Where do I get the detailed procedure to find GCD of 199, 137, 376, 559?

You can find a detailed procedure to find GCD of 199, 137, 376, 559 on our page.

3. How to find GCD of 199, 137, 376, 559 on a calculator?

You can find the GCD of 199, 137, 376, 559 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.