GCD of 410, 382, 584 Calculator

Given Input numbers are 410, 382, 584

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

Divisors of 410

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

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

Divisors of 382

List of positive integer divisors of 382 that divides 382 without a remainder.

1, 2, 191, 382

Divisors of 584

List of positive integer divisors of 584 that divides 584 without a remainder.

1, 2, 4, 8, 73, 146, 292, 584

Greatest Common Divisior

We found the divisors of 410, 382, 584 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 410, 382, 584 is 2.

Therefore, GCD of numbers 410, 382, 584 is 2

Given Input Data is 410, 382, 584

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

Prime Factorization of 410 is 2 x 5 x 41

Prime Factorization of 382 is 2 x 191

Prime Factorization of 584 is 2 x 2 x 2 x 73

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(410, 382) = 78310

GCD(410, 382) = ( 410 x 382 ) / 78310

GCD(410, 382) = 156620 / 78310

GCD(410, 382) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 584

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

LCM(2, 584) = 584

GCD(2, 584) = ( 2 x 584 ) / 584

GCD(2, 584) = 1168 / 584

GCD(2, 584) = 2

GCD of 410, 382, 584 is 2

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1. What is the GCD of 410, 382, 584?

GCD of 410, 382, 584 is 2

2. Where do I get the detailed procedure to find GCD of 410, 382, 584?

You can find a detailed procedure to find GCD of 410, 382, 584 on our page.

3. How to find GCD of 410, 382, 584 on a calculator?

You can find the GCD of 410, 382, 584 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.