GCD of 586, 878, 74, 687 Calculator

Given Input numbers are 586, 878, 74, 687

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 878

List of positive integer divisors of 878 that divides 878 without a remainder.

1, 2, 439, 878

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 687

List of positive integer divisors of 687 that divides 687 without a remainder.

1, 3, 229, 687

Greatest Common Divisior

We found the divisors of 586, 878, 74, 687 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 586, 878, 74, 687 is 1.

Therefore, GCD of numbers 586, 878, 74, 687 is 1

Given Input Data is 586, 878, 74, 687

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

Prime Factorization of 586 is 2 x 293

Prime Factorization of 878 is 2 x 439

Prime Factorization of 74 is 2 x 37

Prime Factorization of 687 is 3 x 229

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(586, 878) = 257254

GCD(586, 878) = ( 586 x 878 ) / 257254

GCD(586, 878) = 514508 / 257254

GCD(586, 878) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 74

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

LCM(2, 74) = 74

GCD(2, 74) = ( 2 x 74 ) / 74

GCD(2, 74) = 148 / 74

GCD(2, 74) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 687

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

LCM(2, 687) = 1374

GCD(2, 687) = ( 2 x 687 ) / 1374

GCD(2, 687) = 1374 / 1374

GCD(2, 687) = 1

GCD of 586, 878, 74, 687 is 1

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1. What is the GCD of 586, 878, 74, 687?

GCD of 586, 878, 74, 687 is 1

2. Where do I get the detailed procedure to find GCD of 586, 878, 74, 687?

You can find a detailed procedure to find GCD of 586, 878, 74, 687 on our page.

3. How to find GCD of 586, 878, 74, 687 on a calculator?

You can find the GCD of 586, 878, 74, 687 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.