GCD of 58, 646, 947, 809 Calculator

Given Input numbers are 58, 646, 947, 809

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 646

List of positive integer divisors of 646 that divides 646 without a remainder.

1, 2, 17, 19, 34, 38, 323, 646

Divisors of 947

List of positive integer divisors of 947 that divides 947 without a remainder.

1, 947

Divisors of 809

List of positive integer divisors of 809 that divides 809 without a remainder.

1, 809

Greatest Common Divisior

We found the divisors of 58, 646, 947, 809 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 58, 646, 947, 809 is 1.

Therefore, GCD of numbers 58, 646, 947, 809 is 1

Given Input Data is 58, 646, 947, 809

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

Prime Factorization of 58 is 2 x 29

Prime Factorization of 646 is 2 x 17 x 19

Prime Factorization of 947 is 947

Prime Factorization of 809 is 809

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, 646) = 18734

GCD(58, 646) = ( 58 x 646 ) / 18734

GCD(58, 646) = 37468 / 18734

GCD(58, 646) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 947

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

LCM(2, 947) = 1894

GCD(2, 947) = ( 2 x 947 ) / 1894

GCD(2, 947) = 1894 / 1894

GCD(2, 947) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 809

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

LCM(1, 809) = 809

GCD(1, 809) = ( 1 x 809 ) / 809

GCD(1, 809) = 809 / 809

GCD(1, 809) = 1

GCD of 58, 646, 947, 809 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 92, 829, 291, 680
• GCD of 36, 800, 324, 709
• GCD of 82, 175, 884, 282
• GCD of 76, 909, 572, 383
• GCD of 35, 806, 999, 930

1. What is the GCD of 58, 646, 947, 809?

GCD of 58, 646, 947, 809 is 1

2. Where do I get the detailed procedure to find GCD of 58, 646, 947, 809?

You can find a detailed procedure to find GCD of 58, 646, 947, 809 on our page.

3. How to find GCD of 58, 646, 947, 809 on a calculator?

You can find the GCD of 58, 646, 947, 809 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.