GCD of 299, 157, 404, 844 Calculator

Given Input numbers are 299, 157, 404, 844

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

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Divisors of 157

List of positive integer divisors of 157 that divides 157 without a remainder.

1, 157

Divisors of 404

List of positive integer divisors of 404 that divides 404 without a remainder.

1, 2, 4, 101, 202, 404

Divisors of 844

List of positive integer divisors of 844 that divides 844 without a remainder.

1, 2, 4, 211, 422, 844

Greatest Common Divisior

We found the divisors of 299, 157, 404, 844 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 299, 157, 404, 844 is 1.

Therefore, GCD of numbers 299, 157, 404, 844 is 1

Given Input Data is 299, 157, 404, 844

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

Prime Factorization of 299 is 13 x 23

Prime Factorization of 157 is 157

Prime Factorization of 404 is 2 x 2 x 101

Prime Factorization of 844 is 2 x 2 x 211

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(299, 157) = 46943

GCD(299, 157) = ( 299 x 157 ) / 46943

GCD(299, 157) = 46943 / 46943

GCD(299, 157) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 404

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

LCM(1, 404) = 404

GCD(1, 404) = ( 1 x 404 ) / 404

GCD(1, 404) = 404 / 404

GCD(1, 404) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 844

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

LCM(1, 844) = 844

GCD(1, 844) = ( 1 x 844 ) / 844

GCD(1, 844) = 844 / 844

GCD(1, 844) = 1

GCD of 299, 157, 404, 844 is 1

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1. What is the GCD of 299, 157, 404, 844?

GCD of 299, 157, 404, 844 is 1

2. Where do I get the detailed procedure to find GCD of 299, 157, 404, 844?

You can find a detailed procedure to find GCD of 299, 157, 404, 844 on our page.

3. How to find GCD of 299, 157, 404, 844 on a calculator?

You can find the GCD of 299, 157, 404, 844 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.