GCD of 638, 446, 936, 947 Calculator

Given Input numbers are 638, 446, 936, 947

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

Divisors of 638

List of positive integer divisors of 638 that divides 638 without a remainder.

1, 2, 11, 22, 29, 58, 319, 638

Divisors of 446

List of positive integer divisors of 446 that divides 446 without a remainder.

1, 2, 223, 446

Divisors of 936

List of positive integer divisors of 936 that divides 936 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

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 638, 446, 936, 947 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 638, 446, 936, 947 is 1.

Therefore, GCD of numbers 638, 446, 936, 947 is 1

Given Input Data is 638, 446, 936, 947

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

Prime Factorization of 638 is 2 x 11 x 29

Prime Factorization of 446 is 2 x 223

Prime Factorization of 936 is 2 x 2 x 2 x 3 x 3 x 13

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(638, 446) = 142274

GCD(638, 446) = ( 638 x 446 ) / 142274

GCD(638, 446) = 284548 / 142274

GCD(638, 446) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 936

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

LCM(2, 936) = 936

GCD(2, 936) = ( 2 x 936 ) / 936

GCD(2, 936) = 1872 / 936

GCD(2, 936) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 947

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

LCM(2, 947) = 1894

GCD(2, 947) = ( 2 x 947 ) / 1894

GCD(2, 947) = 1894 / 1894

GCD(2, 947) = 1

GCD of 638, 446, 936, 947 is 1

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1. What is the GCD of 638, 446, 936, 947?

GCD of 638, 446, 936, 947 is 1

2. Where do I get the detailed procedure to find GCD of 638, 446, 936, 947?

You can find a detailed procedure to find GCD of 638, 446, 936, 947 on our page.

3. How to find GCD of 638, 446, 936, 947 on a calculator?

You can find the GCD of 638, 446, 936, 947 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.