GCD of 404, 694, 56, 310 Calculator

Given Input numbers are 404, 694, 56, 310

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

Divisors of 404

List of positive integer divisors of 404 that divides 404 without a remainder.

1, 2, 4, 101, 202, 404

Divisors of 694

List of positive integer divisors of 694 that divides 694 without a remainder.

1, 2, 347, 694

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Greatest Common Divisior

We found the divisors of 404, 694, 56, 310 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 404, 694, 56, 310 is 2.

Therefore, GCD of numbers 404, 694, 56, 310 is 2

Given Input Data is 404, 694, 56, 310

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

Prime Factorization of 404 is 2 x 2 x 101

Prime Factorization of 694 is 2 x 347

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 310 is 2 x 5 x 31

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(404, 694) = 140188

GCD(404, 694) = ( 404 x 694 ) / 140188

GCD(404, 694) = 280376 / 140188

GCD(404, 694) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 56

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

LCM(2, 56) = 56

GCD(2, 56) = ( 2 x 56 ) / 56

GCD(2, 56) = 112 / 56

GCD(2, 56) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 310

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

LCM(2, 310) = 310

GCD(2, 310) = ( 2 x 310 ) / 310

GCD(2, 310) = 620 / 310

GCD(2, 310) = 2

GCD of 404, 694, 56, 310 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 216, 514, 45, 795
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• GCD of 150, 561, 46, 184

1. What is the GCD of 404, 694, 56, 310?

GCD of 404, 694, 56, 310 is 2

2. Where do I get the detailed procedure to find GCD of 404, 694, 56, 310?

You can find a detailed procedure to find GCD of 404, 694, 56, 310 on our page.

3. How to find GCD of 404, 694, 56, 310 on a calculator?

You can find the GCD of 404, 694, 56, 310 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.