GCD of 58, 628, 664, 817 Calculator

Given Input numbers are 58, 628, 664, 817

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 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

Divisors of 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 817

List of positive integer divisors of 817 that divides 817 without a remainder.

1, 19, 43, 817

Greatest Common Divisior

We found the divisors of 58, 628, 664, 817 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 58, 628, 664, 817 is 1.

Therefore, GCD of numbers 58, 628, 664, 817 is 1

Given Input Data is 58, 628, 664, 817

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

Prime Factorization of 58 is 2 x 29

Prime Factorization of 628 is 2 x 2 x 157

Prime Factorization of 664 is 2 x 2 x 2 x 83

Prime Factorization of 817 is 19 x 43

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, 628) = 18212

GCD(58, 628) = ( 58 x 628 ) / 18212

GCD(58, 628) = 36424 / 18212

GCD(58, 628) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 664

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

LCM(2, 664) = 664

GCD(2, 664) = ( 2 x 664 ) / 664

GCD(2, 664) = 1328 / 664

GCD(2, 664) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 817

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

LCM(2, 817) = 1634

GCD(2, 817) = ( 2 x 817 ) / 1634

GCD(2, 817) = 1634 / 1634

GCD(2, 817) = 1

GCD of 58, 628, 664, 817 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 92, 826, 649, 442
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• GCD of 50, 613, 396, 581

1. What is the GCD of 58, 628, 664, 817?

GCD of 58, 628, 664, 817 is 1

2. Where do I get the detailed procedure to find GCD of 58, 628, 664, 817?

You can find a detailed procedure to find GCD of 58, 628, 664, 817 on our page.

3. How to find GCD of 58, 628, 664, 817 on a calculator?

You can find the GCD of 58, 628, 664, 817 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.