GCD of 224, 623, 482, 947 Calculator

Given Input numbers are 224, 623, 482, 947

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

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 623

List of positive integer divisors of 623 that divides 623 without a remainder.

1, 7, 89, 623

Divisors of 482

List of positive integer divisors of 482 that divides 482 without a remainder.

1, 2, 241, 482

Divisors of 947

List of positive integer divisors of 947 that divides 947 without a remainder.

1, 947

Greatest Common Divisior

We found the divisors of 224, 623, 482, 947 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 224, 623, 482, 947 is 1.

Therefore, GCD of numbers 224, 623, 482, 947 is 1

Given Input Data is 224, 623, 482, 947

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

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

Prime Factorization of 623 is 7 x 89

Prime Factorization of 482 is 2 x 241

Prime Factorization of 947 is 947

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(224, 623) = 19936

GCD(224, 623) = ( 224 x 623 ) / 19936

GCD(224, 623) = 139552 / 19936

GCD(224, 623) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 482

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

LCM(7, 482) = 3374

GCD(7, 482) = ( 7 x 482 ) / 3374

GCD(7, 482) = 3374 / 3374

GCD(7, 482) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 947

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

LCM(1, 947) = 947

GCD(1, 947) = ( 1 x 947 ) / 947

GCD(1, 947) = 947 / 947

GCD(1, 947) = 1

GCD of 224, 623, 482, 947 is 1

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1. What is the GCD of 224, 623, 482, 947?

GCD of 224, 623, 482, 947 is 1

2. Where do I get the detailed procedure to find GCD of 224, 623, 482, 947?

You can find a detailed procedure to find GCD of 224, 623, 482, 947 on our page.

3. How to find GCD of 224, 623, 482, 947 on a calculator?

You can find the GCD of 224, 623, 482, 947 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.