GCD of 424, 656, 841, 574 Calculator

Given Input numbers are 424, 656, 841, 574

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

Divisors of 424

List of positive integer divisors of 424 that divides 424 without a remainder.

1, 2, 4, 8, 53, 106, 212, 424

Divisors of 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 841

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

1, 29, 841

Divisors of 574

List of positive integer divisors of 574 that divides 574 without a remainder.

1, 2, 7, 14, 41, 82, 287, 574

Greatest Common Divisior

We found the divisors of 424, 656, 841, 574 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 424, 656, 841, 574 is 1.

Therefore, GCD of numbers 424, 656, 841, 574 is 1

Given Input Data is 424, 656, 841, 574

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

Prime Factorization of 424 is 2 x 2 x 2 x 53

Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41

Prime Factorization of 841 is 29 x 29

Prime Factorization of 574 is 2 x 7 x 41

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(424, 656) = 34768

GCD(424, 656) = ( 424 x 656 ) / 34768

GCD(424, 656) = 278144 / 34768

GCD(424, 656) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 841

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

LCM(8, 841) = 6728

GCD(8, 841) = ( 8 x 841 ) / 6728

GCD(8, 841) = 6728 / 6728

GCD(8, 841) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 574

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

LCM(1, 574) = 574

GCD(1, 574) = ( 1 x 574 ) / 574

GCD(1, 574) = 574 / 574

GCD(1, 574) = 1

GCD of 424, 656, 841, 574 is 1

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• GCD of 887, 368, 494, 552
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1. What is the GCD of 424, 656, 841, 574?

GCD of 424, 656, 841, 574 is 1

2. Where do I get the detailed procedure to find GCD of 424, 656, 841, 574?

You can find a detailed procedure to find GCD of 424, 656, 841, 574 on our page.

3. How to find GCD of 424, 656, 841, 574 on a calculator?

You can find the GCD of 424, 656, 841, 574 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.