GCD of 438, 579, 578, 841 Calculator

Given Input numbers are 438, 579, 578, 841

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

Divisors of 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 579

List of positive integer divisors of 579 that divides 579 without a remainder.

1, 3, 193, 579

Divisors of 578

List of positive integer divisors of 578 that divides 578 without a remainder.

1, 2, 17, 34, 289, 578

Divisors of 841

List of positive integer divisors of 841 that divides 841 without a remainder.

1, 29, 841

Greatest Common Divisior

We found the divisors of 438, 579, 578, 841 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 438, 579, 578, 841 is 1.

Therefore, GCD of numbers 438, 579, 578, 841 is 1

Given Input Data is 438, 579, 578, 841

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

Prime Factorization of 438 is 2 x 3 x 73

Prime Factorization of 579 is 3 x 193

Prime Factorization of 578 is 2 x 17 x 17

Prime Factorization of 841 is 29 x 29

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(438, 579) = 84534

GCD(438, 579) = ( 438 x 579 ) / 84534

GCD(438, 579) = 253602 / 84534

GCD(438, 579) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 578

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

LCM(3, 578) = 1734

GCD(3, 578) = ( 3 x 578 ) / 1734

GCD(3, 578) = 1734 / 1734

GCD(3, 578) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 841

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

LCM(1, 841) = 841

GCD(1, 841) = ( 1 x 841 ) / 841

GCD(1, 841) = 841 / 841

GCD(1, 841) = 1

GCD of 438, 579, 578, 841 is 1

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1. What is the GCD of 438, 579, 578, 841?

GCD of 438, 579, 578, 841 is 1

2. Where do I get the detailed procedure to find GCD of 438, 579, 578, 841?

You can find a detailed procedure to find GCD of 438, 579, 578, 841 on our page.

3. How to find GCD of 438, 579, 578, 841 on a calculator?

You can find the GCD of 438, 579, 578, 841 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.