GCD of 559, 313, 31, 302 Calculator

Given Input numbers are 559, 313, 31, 302

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

Divisors of 559

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

1, 13, 43, 559

Divisors of 313

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

1, 313

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 302

List of positive integer divisors of 302 that divides 302 without a remainder.

1, 2, 151, 302

Greatest Common Divisior

We found the divisors of 559, 313, 31, 302 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 559, 313, 31, 302 is 1.

Therefore, GCD of numbers 559, 313, 31, 302 is 1

Given Input Data is 559, 313, 31, 302

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

Prime Factorization of 559 is 13 x 43

Prime Factorization of 313 is 313

Prime Factorization of 31 is 31

Prime Factorization of 302 is 2 x 151

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(559, 313) = 174967

GCD(559, 313) = ( 559 x 313 ) / 174967

GCD(559, 313) = 174967 / 174967

GCD(559, 313) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 31

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

LCM(1, 31) = 31

GCD(1, 31) = ( 1 x 31 ) / 31

GCD(1, 31) = 31 / 31

GCD(1, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 302

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

LCM(1, 302) = 302

GCD(1, 302) = ( 1 x 302 ) / 302

GCD(1, 302) = 302 / 302

GCD(1, 302) = 1

GCD of 559, 313, 31, 302 is 1

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1. What is the GCD of 559, 313, 31, 302?

GCD of 559, 313, 31, 302 is 1

2. Where do I get the detailed procedure to find GCD of 559, 313, 31, 302?

You can find a detailed procedure to find GCD of 559, 313, 31, 302 on our page.

3. How to find GCD of 559, 313, 31, 302 on a calculator?

You can find the GCD of 559, 313, 31, 302 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.