GCD of 586, 382, 98, 872 Calculator

Given Input numbers are 586, 382, 98, 872

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

Divisors of 586

List of positive integer divisors of 586 that divides 586 without a remainder.

1, 2, 293, 586

Divisors of 382

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

1, 2, 191, 382

Divisors of 98

List of positive integer divisors of 98 that divides 98 without a remainder.

1, 2, 7, 14, 49, 98

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Greatest Common Divisior

We found the divisors of 586, 382, 98, 872 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 586, 382, 98, 872 is 2.

Therefore, GCD of numbers 586, 382, 98, 872 is 2

Given Input Data is 586, 382, 98, 872

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

Prime Factorization of 586 is 2 x 293

Prime Factorization of 382 is 2 x 191

Prime Factorization of 98 is 2 x 7 x 7

Prime Factorization of 872 is 2 x 2 x 2 x 109

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(586, 382) = 111926

GCD(586, 382) = ( 586 x 382 ) / 111926

GCD(586, 382) = 223852 / 111926

GCD(586, 382) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 98

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

LCM(2, 98) = 98

GCD(2, 98) = ( 2 x 98 ) / 98

GCD(2, 98) = 196 / 98

GCD(2, 98) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 872

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

LCM(2, 872) = 872

GCD(2, 872) = ( 2 x 872 ) / 872

GCD(2, 872) = 1744 / 872

GCD(2, 872) = 2

GCD of 586, 382, 98, 872 is 2

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1. What is the GCD of 586, 382, 98, 872?

GCD of 586, 382, 98, 872 is 2

2. Where do I get the detailed procedure to find GCD of 586, 382, 98, 872?

You can find a detailed procedure to find GCD of 586, 382, 98, 872 on our page.

3. How to find GCD of 586, 382, 98, 872 on a calculator?

You can find the GCD of 586, 382, 98, 872 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.