GCD of 472, 413, 715, 844 Calculator

Given Input numbers are 472, 413, 715, 844

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

Divisors of 472

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

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

Divisors of 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

Divisors of 715

List of positive integer divisors of 715 that divides 715 without a remainder.

1, 5, 11, 13, 55, 65, 143, 715

Divisors of 844

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

1, 2, 4, 211, 422, 844

Greatest Common Divisior

We found the divisors of 472, 413, 715, 844 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 472, 413, 715, 844 is 1.

Therefore, GCD of numbers 472, 413, 715, 844 is 1

Given Input Data is 472, 413, 715, 844

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

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

Prime Factorization of 413 is 7 x 59

Prime Factorization of 715 is 5 x 11 x 13

Prime Factorization of 844 is 2 x 2 x 211

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(472, 413) = 3304

GCD(472, 413) = ( 472 x 413 ) / 3304

GCD(472, 413) = 194936 / 3304

GCD(472, 413) = 59

Step2:

Here we consider the GCD from the above i.e. 59 as first number and the next as 715

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

LCM(59, 715) = 42185

GCD(59, 715) = ( 59 x 715 ) / 42185

GCD(59, 715) = 42185 / 42185

GCD(59, 715) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 844

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

LCM(1, 844) = 844

GCD(1, 844) = ( 1 x 844 ) / 844

GCD(1, 844) = 844 / 844

GCD(1, 844) = 1

GCD of 472, 413, 715, 844 is 1

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1. What is the GCD of 472, 413, 715, 844?

GCD of 472, 413, 715, 844 is 1

2. Where do I get the detailed procedure to find GCD of 472, 413, 715, 844?

You can find a detailed procedure to find GCD of 472, 413, 715, 844 on our page.

3. How to find GCD of 472, 413, 715, 844 on a calculator?

You can find the GCD of 472, 413, 715, 844 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.