GCD of 321, 800, 940, 313 Calculator

Given Input numbers are 321, 800, 940, 313

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

Divisors of 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Divisors of 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 940

List of positive integer divisors of 940 that divides 940 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

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 321, 800, 940, 313 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 321, 800, 940, 313 is 1.

Therefore, GCD of numbers 321, 800, 940, 313 is 1

Given Input Data is 321, 800, 940, 313

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

Prime Factorization of 321 is 3 x 107

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 940 is 2 x 2 x 5 x 47

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(321, 800) = 256800

GCD(321, 800) = ( 321 x 800 ) / 256800

GCD(321, 800) = 256800 / 256800

GCD(321, 800) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 940

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

LCM(1, 940) = 940

GCD(1, 940) = ( 1 x 940 ) / 940

GCD(1, 940) = 940 / 940

GCD(1, 940) = 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 321, 800, 940, 313 is 1

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• GCD of 482, 198, 797, 663
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1. What is the GCD of 321, 800, 940, 313?

GCD of 321, 800, 940, 313 is 1

2. Where do I get the detailed procedure to find GCD of 321, 800, 940, 313?

You can find a detailed procedure to find GCD of 321, 800, 940, 313 on our page.

3. How to find GCD of 321, 800, 940, 313 on a calculator?

You can find the GCD of 321, 800, 940, 313 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.