GCD of 567, 224, 844, 212 Calculator

Given Input numbers are 567, 224, 844, 212

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 224

List of positive integer divisors of 224 that divides 224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Divisors of 844

List of positive integer divisors of 844 that divides 844 without a remainder.

1, 2, 4, 211, 422, 844

Divisors of 212

List of positive integer divisors of 212 that divides 212 without a remainder.

1, 2, 4, 53, 106, 212

Greatest Common Divisior

We found the divisors of 567, 224, 844, 212 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 567, 224, 844, 212 is 1.

Therefore, GCD of numbers 567, 224, 844, 212 is 1

Given Input Data is 567, 224, 844, 212

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 224 is 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 844 is 2 x 2 x 211

Prime Factorization of 212 is 2 x 2 x 53

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, 224) = 18144

GCD(567, 224) = ( 567 x 224 ) / 18144

GCD(567, 224) = 127008 / 18144

GCD(567, 224) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 844

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

LCM(7, 844) = 5908

GCD(7, 844) = ( 7 x 844 ) / 5908

GCD(7, 844) = 5908 / 5908

GCD(7, 844) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 212

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

LCM(1, 212) = 212

GCD(1, 212) = ( 1 x 212 ) / 212

GCD(1, 212) = 212 / 212

GCD(1, 212) = 1

GCD of 567, 224, 844, 212 is 1

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1. What is the GCD of 567, 224, 844, 212?

GCD of 567, 224, 844, 212 is 1

2. Where do I get the detailed procedure to find GCD of 567, 224, 844, 212?

You can find a detailed procedure to find GCD of 567, 224, 844, 212 on our page.

3. How to find GCD of 567, 224, 844, 212 on a calculator?

You can find the GCD of 567, 224, 844, 212 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.