GCD of 478, 805, 656, 313 Calculator

Given Input numbers are 478, 805, 656, 313

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

Divisors of 478

List of positive integer divisors of 478 that divides 478 without a remainder.

1, 2, 239, 478

Divisors of 805

List of positive integer divisors of 805 that divides 805 without a remainder.

1, 5, 7, 23, 35, 115, 161, 805

Divisors of 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Greatest Common Divisior

We found the divisors of 478, 805, 656, 313 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 478, 805, 656, 313 is 1.

Therefore, GCD of numbers 478, 805, 656, 313 is 1

Given Input Data is 478, 805, 656, 313

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

Prime Factorization of 478 is 2 x 239

Prime Factorization of 805 is 5 x 7 x 23

Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41

Prime Factorization of 313 is 313

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(478, 805) = 384790

GCD(478, 805) = ( 478 x 805 ) / 384790

GCD(478, 805) = 384790 / 384790

GCD(478, 805) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 656

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

LCM(1, 656) = 656

GCD(1, 656) = ( 1 x 656 ) / 656

GCD(1, 656) = 656 / 656

GCD(1, 656) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 313

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

LCM(1, 313) = 313

GCD(1, 313) = ( 1 x 313 ) / 313

GCD(1, 313) = 313 / 313

GCD(1, 313) = 1

GCD of 478, 805, 656, 313 is 1

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1. What is the GCD of 478, 805, 656, 313?

GCD of 478, 805, 656, 313 is 1

2. Where do I get the detailed procedure to find GCD of 478, 805, 656, 313?

You can find a detailed procedure to find GCD of 478, 805, 656, 313 on our page.

3. How to find GCD of 478, 805, 656, 313 on a calculator?

You can find the GCD of 478, 805, 656, 313 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.