GCD of 567, 254, 896, 472 Calculator

Given Input numbers are 567, 254, 896, 472

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

Divisors of 567

List of positive integer divisors of 567 that divides 567 without a remainder.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

Divisors of 254

List of positive integer divisors of 254 that divides 254 without a remainder.

1, 2, 127, 254

Divisors of 896

List of positive integer divisors of 896 that divides 896 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 472

List of positive integer divisors of 472 that divides 472 without a remainder.

1, 2, 4, 8, 59, 118, 236, 472

Greatest Common Divisior

We found the divisors of 567, 254, 896, 472 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 567, 254, 896, 472 is 1.

Therefore, GCD of numbers 567, 254, 896, 472 is 1

Given Input Data is 567, 254, 896, 472

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

Prime Factorization of 567 is 3 x 3 x 3 x 3 x 7

Prime Factorization of 254 is 2 x 127

Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 472 is 2 x 2 x 2 x 59

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(567, 254) = 144018

GCD(567, 254) = ( 567 x 254 ) / 144018

GCD(567, 254) = 144018 / 144018

GCD(567, 254) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 896

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

LCM(1, 896) = 896

GCD(1, 896) = ( 1 x 896 ) / 896

GCD(1, 896) = 896 / 896

GCD(1, 896) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 472

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

LCM(1, 472) = 472

GCD(1, 472) = ( 1 x 472 ) / 472

GCD(1, 472) = 472 / 472

GCD(1, 472) = 1

GCD of 567, 254, 896, 472 is 1

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1. What is the GCD of 567, 254, 896, 472?

GCD of 567, 254, 896, 472 is 1

2. Where do I get the detailed procedure to find GCD of 567, 254, 896, 472?

You can find a detailed procedure to find GCD of 567, 254, 896, 472 on our page.

3. How to find GCD of 567, 254, 896, 472 on a calculator?

You can find the GCD of 567, 254, 896, 472 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.