GCD of 317, 656, 155, 320 Calculator

Given Input numbers are 317, 656, 155, 320

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

Divisors of 317

List of positive integer divisors of 317 that divides 317 without a remainder.

1, 317

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 155

List of positive integer divisors of 155 that divides 155 without a remainder.

1, 5, 31, 155

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Greatest Common Divisior

We found the divisors of 317, 656, 155, 320 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 317, 656, 155, 320 is 1.

Therefore, GCD of numbers 317, 656, 155, 320 is 1

Given Input Data is 317, 656, 155, 320

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

Prime Factorization of 317 is 317

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

Prime Factorization of 155 is 5 x 31

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

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(317, 656) = 207952

GCD(317, 656) = ( 317 x 656 ) / 207952

GCD(317, 656) = 207952 / 207952

GCD(317, 656) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 155

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

LCM(1, 155) = 155

GCD(1, 155) = ( 1 x 155 ) / 155

GCD(1, 155) = 155 / 155

GCD(1, 155) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 320

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

LCM(1, 320) = 320

GCD(1, 320) = ( 1 x 320 ) / 320

GCD(1, 320) = 320 / 320

GCD(1, 320) = 1

GCD of 317, 656, 155, 320 is 1

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1. What is the GCD of 317, 656, 155, 320?

GCD of 317, 656, 155, 320 is 1

2. Where do I get the detailed procedure to find GCD of 317, 656, 155, 320?

You can find a detailed procedure to find GCD of 317, 656, 155, 320 on our page.

3. How to find GCD of 317, 656, 155, 320 on a calculator?

You can find the GCD of 317, 656, 155, 320 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.