GCD of 642, 874, 20, 581 Calculator

Given Input numbers are 642, 874, 20, 581

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

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 581

List of positive integer divisors of 581 that divides 581 without a remainder.

1, 7, 83, 581

Greatest Common Divisior

We found the divisors of 642, 874, 20, 581 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 642, 874, 20, 581 is 1.

Therefore, GCD of numbers 642, 874, 20, 581 is 1

Given Input Data is 642, 874, 20, 581

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

Prime Factorization of 642 is 2 x 3 x 107

Prime Factorization of 874 is 2 x 19 x 23

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 581 is 7 x 83

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(642, 874) = 280554

GCD(642, 874) = ( 642 x 874 ) / 280554

GCD(642, 874) = 561108 / 280554

GCD(642, 874) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 20

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

LCM(2, 20) = 20

GCD(2, 20) = ( 2 x 20 ) / 20

GCD(2, 20) = 40 / 20

GCD(2, 20) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 581

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

LCM(2, 581) = 1162

GCD(2, 581) = ( 2 x 581 ) / 1162

GCD(2, 581) = 1162 / 1162

GCD(2, 581) = 1

GCD of 642, 874, 20, 581 is 1

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• GCD of 822, 951, 85, 927

1. What is the GCD of 642, 874, 20, 581?

GCD of 642, 874, 20, 581 is 1

2. Where do I get the detailed procedure to find GCD of 642, 874, 20, 581?

You can find a detailed procedure to find GCD of 642, 874, 20, 581 on our page.

3. How to find GCD of 642, 874, 20, 581 on a calculator?

You can find the GCD of 642, 874, 20, 581 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.