GCD of 394, 580, 410 Calculator

Given Input numbers are 394, 580, 410

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

Divisors of 394

List of positive integer divisors of 394 that divides 394 without a remainder.

1, 2, 197, 394

Divisors of 580

List of positive integer divisors of 580 that divides 580 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 410

List of positive integer divisors of 410 that divides 410 without a remainder.

1, 2, 5, 10, 41, 82, 205, 410

Greatest Common Divisior

We found the divisors of 394, 580, 410 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 394, 580, 410 is 2.

Therefore, GCD of numbers 394, 580, 410 is 2

Given Input Data is 394, 580, 410

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

Prime Factorization of 394 is 2 x 197

Prime Factorization of 580 is 2 x 2 x 5 x 29

Prime Factorization of 410 is 2 x 5 x 41

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(394, 580) = 114260

GCD(394, 580) = ( 394 x 580 ) / 114260

GCD(394, 580) = 228520 / 114260

GCD(394, 580) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 410

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

LCM(2, 410) = 410

GCD(2, 410) = ( 2 x 410 ) / 410

GCD(2, 410) = 820 / 410

GCD(2, 410) = 2

GCD of 394, 580, 410 is 2

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1. What is the GCD of 394, 580, 410?

GCD of 394, 580, 410 is 2

2. Where do I get the detailed procedure to find GCD of 394, 580, 410?

You can find a detailed procedure to find GCD of 394, 580, 410 on our page.

3. How to find GCD of 394, 580, 410 on a calculator?

You can find the GCD of 394, 580, 410 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.