GCD of 56, 224, 204, 961 Calculator

Given Input numbers are 56, 224, 204, 961

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

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 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 204

List of positive integer divisors of 204 that divides 204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 961

List of positive integer divisors of 961 that divides 961 without a remainder.

1, 31, 961

Greatest Common Divisior

We found the divisors of 56, 224, 204, 961 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 56, 224, 204, 961 is 1.

Therefore, GCD of numbers 56, 224, 204, 961 is 1

Given Input Data is 56, 224, 204, 961

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

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

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 204 is 2 x 2 x 3 x 17

Prime Factorization of 961 is 31 x 31

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(56, 224) = 224

GCD(56, 224) = ( 56 x 224 ) / 224

GCD(56, 224) = 12544 / 224

GCD(56, 224) = 56

Step2:

Here we consider the GCD from the above i.e. 56 as first number and the next as 204

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

LCM(56, 204) = 2856

GCD(56, 204) = ( 56 x 204 ) / 2856

GCD(56, 204) = 11424 / 2856

GCD(56, 204) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 961

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

LCM(4, 961) = 3844

GCD(4, 961) = ( 4 x 961 ) / 3844

GCD(4, 961) = 3844 / 3844

GCD(4, 961) = 1

GCD of 56, 224, 204, 961 is 1

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• GCD of 76, 846, 526, 843
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1. What is the GCD of 56, 224, 204, 961?

GCD of 56, 224, 204, 961 is 1

2. Where do I get the detailed procedure to find GCD of 56, 224, 204, 961?

You can find a detailed procedure to find GCD of 56, 224, 204, 961 on our page.

3. How to find GCD of 56, 224, 204, 961 on a calculator?

You can find the GCD of 56, 224, 204, 961 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.