GCD of 431, 516, 56, 289 Calculator

Given Input numbers are 431, 516, 56, 289

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

Divisors of 431

List of positive integer divisors of 431 that divides 431 without a remainder.

1, 431

Divisors of 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Greatest Common Divisior

We found the divisors of 431, 516, 56, 289 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 431, 516, 56, 289 is 1.

Therefore, GCD of numbers 431, 516, 56, 289 is 1

Given Input Data is 431, 516, 56, 289

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

Prime Factorization of 431 is 431

Prime Factorization of 516 is 2 x 2 x 3 x 43

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 289 is 17 x 17

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(431, 516) = 222396

GCD(431, 516) = ( 431 x 516 ) / 222396

GCD(431, 516) = 222396 / 222396

GCD(431, 516) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 56

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

LCM(1, 56) = 56

GCD(1, 56) = ( 1 x 56 ) / 56

GCD(1, 56) = 56 / 56

GCD(1, 56) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 289

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

LCM(1, 289) = 289

GCD(1, 289) = ( 1 x 289 ) / 289

GCD(1, 289) = 289 / 289

GCD(1, 289) = 1

GCD of 431, 516, 56, 289 is 1

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1. What is the GCD of 431, 516, 56, 289?

GCD of 431, 516, 56, 289 is 1

2. Where do I get the detailed procedure to find GCD of 431, 516, 56, 289?

You can find a detailed procedure to find GCD of 431, 516, 56, 289 on our page.

3. How to find GCD of 431, 516, 56, 289 on a calculator?

You can find the GCD of 431, 516, 56, 289 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.