GCD of 313, 129, 998, 601 Calculator

Given Input numbers are 313, 129, 998, 601

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

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Divisors of 129

List of positive integer divisors of 129 that divides 129 without a remainder.

1, 3, 43, 129

Divisors of 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Divisors of 601

List of positive integer divisors of 601 that divides 601 without a remainder.

1, 601

Greatest Common Divisior

We found the divisors of 313, 129, 998, 601 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 313, 129, 998, 601 is 1.

Therefore, GCD of numbers 313, 129, 998, 601 is 1

Given Input Data is 313, 129, 998, 601

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

Prime Factorization of 313 is 313

Prime Factorization of 129 is 3 x 43

Prime Factorization of 998 is 2 x 499

Prime Factorization of 601 is 601

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(313, 129) = 40377

GCD(313, 129) = ( 313 x 129 ) / 40377

GCD(313, 129) = 40377 / 40377

GCD(313, 129) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 998

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

LCM(1, 998) = 998

GCD(1, 998) = ( 1 x 998 ) / 998

GCD(1, 998) = 998 / 998

GCD(1, 998) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 601

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

LCM(1, 601) = 601

GCD(1, 601) = ( 1 x 601 ) / 601

GCD(1, 601) = 601 / 601

GCD(1, 601) = 1

GCD of 313, 129, 998, 601 is 1

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• GCD of 743, 283, 448, 765
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1. What is the GCD of 313, 129, 998, 601?

GCD of 313, 129, 998, 601 is 1

2. Where do I get the detailed procedure to find GCD of 313, 129, 998, 601?

You can find a detailed procedure to find GCD of 313, 129, 998, 601 on our page.

3. How to find GCD of 313, 129, 998, 601 on a calculator?

You can find the GCD of 313, 129, 998, 601 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.