GCD of 281, 604, 31, 369 Calculator

Given Input numbers are 281, 604, 31, 369

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

Divisors of 281

List of positive integer divisors of 281 that divides 281 without a remainder.

1, 281

Divisors of 604

List of positive integer divisors of 604 that divides 604 without a remainder.

1, 2, 4, 151, 302, 604

Divisors of 31

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

1, 31

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Greatest Common Divisior

We found the divisors of 281, 604, 31, 369 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 281, 604, 31, 369 is 1.

Therefore, GCD of numbers 281, 604, 31, 369 is 1

Given Input Data is 281, 604, 31, 369

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

Prime Factorization of 281 is 281

Prime Factorization of 604 is 2 x 2 x 151

Prime Factorization of 31 is 31

Prime Factorization of 369 is 3 x 3 x 41

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(281, 604) = 169724

GCD(281, 604) = ( 281 x 604 ) / 169724

GCD(281, 604) = 169724 / 169724

GCD(281, 604) = 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 369

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

LCM(1, 369) = 369

GCD(1, 369) = ( 1 x 369 ) / 369

GCD(1, 369) = 369 / 369

GCD(1, 369) = 1

GCD of 281, 604, 31, 369 is 1

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1. What is the GCD of 281, 604, 31, 369?

GCD of 281, 604, 31, 369 is 1

2. Where do I get the detailed procedure to find GCD of 281, 604, 31, 369?

You can find a detailed procedure to find GCD of 281, 604, 31, 369 on our page.

3. How to find GCD of 281, 604, 31, 369 on a calculator?

You can find the GCD of 281, 604, 31, 369 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.