GCD of 58, 986, 417, 586 Calculator

Given Input numbers are 58, 986, 417, 586

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

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 986

List of positive integer divisors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

Divisors of 417

List of positive integer divisors of 417 that divides 417 without a remainder.

1, 3, 139, 417

Divisors of 586

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

1, 2, 293, 586

Greatest Common Divisior

We found the divisors of 58, 986, 417, 586 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 58, 986, 417, 586 is 1.

Therefore, GCD of numbers 58, 986, 417, 586 is 1

Given Input Data is 58, 986, 417, 586

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

Prime Factorization of 58 is 2 x 29

Prime Factorization of 986 is 2 x 17 x 29

Prime Factorization of 417 is 3 x 139

Prime Factorization of 586 is 2 x 293

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(58, 986) = 986

GCD(58, 986) = ( 58 x 986 ) / 986

GCD(58, 986) = 57188 / 986

GCD(58, 986) = 58

Step2:

Here we consider the GCD from the above i.e. 58 as first number and the next as 417

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

LCM(58, 417) = 24186

GCD(58, 417) = ( 58 x 417 ) / 24186

GCD(58, 417) = 24186 / 24186

GCD(58, 417) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 586

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

LCM(1, 586) = 586

GCD(1, 586) = ( 1 x 586 ) / 586

GCD(1, 586) = 586 / 586

GCD(1, 586) = 1

GCD of 58, 986, 417, 586 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 43, 847, 494, 449
• GCD of 97, 553, 257, 740
• GCD of 35, 304, 458, 190
• GCD of 86, 809, 925, 122
• GCD of 82, 654, 603, 789

1. What is the GCD of 58, 986, 417, 586?

GCD of 58, 986, 417, 586 is 1

2. Where do I get the detailed procedure to find GCD of 58, 986, 417, 586?

You can find a detailed procedure to find GCD of 58, 986, 417, 586 on our page.

3. How to find GCD of 58, 986, 417, 586 on a calculator?

You can find the GCD of 58, 986, 417, 586 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.