GCD of 562, 564, 31, 303 Calculator

Given Input numbers are 562, 564, 31, 303

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

Divisors of 562

List of positive integer divisors of 562 that divides 562 without a remainder.

1, 2, 281, 562

Divisors of 564

List of positive integer divisors of 564 that divides 564 without a remainder.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 31

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

1, 31

Divisors of 303

List of positive integer divisors of 303 that divides 303 without a remainder.

1, 3, 101, 303

Greatest Common Divisior

We found the divisors of 562, 564, 31, 303 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 562, 564, 31, 303 is 1.

Therefore, GCD of numbers 562, 564, 31, 303 is 1

Given Input Data is 562, 564, 31, 303

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

Prime Factorization of 562 is 2 x 281

Prime Factorization of 564 is 2 x 2 x 3 x 47

Prime Factorization of 31 is 31

Prime Factorization of 303 is 3 x 101

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(562, 564) = 158484

GCD(562, 564) = ( 562 x 564 ) / 158484

GCD(562, 564) = 316968 / 158484

GCD(562, 564) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 31

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

LCM(2, 31) = 62

GCD(2, 31) = ( 2 x 31 ) / 62

GCD(2, 31) = 62 / 62

GCD(2, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 303

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

LCM(1, 303) = 303

GCD(1, 303) = ( 1 x 303 ) / 303

GCD(1, 303) = 303 / 303

GCD(1, 303) = 1

GCD of 562, 564, 31, 303 is 1

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1. What is the GCD of 562, 564, 31, 303?

GCD of 562, 564, 31, 303 is 1

2. Where do I get the detailed procedure to find GCD of 562, 564, 31, 303?

You can find a detailed procedure to find GCD of 562, 564, 31, 303 on our page.

3. How to find GCD of 562, 564, 31, 303 on a calculator?

You can find the GCD of 562, 564, 31, 303 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.