GCD of 58, 667, 341, 506 Calculator

Given Input numbers are 58, 667, 341, 506

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 667

List of positive integer divisors of 667 that divides 667 without a remainder.

1, 23, 29, 667

Divisors of 341

List of positive integer divisors of 341 that divides 341 without a remainder.

1, 11, 31, 341

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Greatest Common Divisior

We found the divisors of 58, 667, 341, 506 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 58, 667, 341, 506 is 1.

Therefore, GCD of numbers 58, 667, 341, 506 is 1

Given Input Data is 58, 667, 341, 506

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

Prime Factorization of 58 is 2 x 29

Prime Factorization of 667 is 23 x 29

Prime Factorization of 341 is 11 x 31

Prime Factorization of 506 is 2 x 11 x 23

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, 667) = 1334

GCD(58, 667) = ( 58 x 667 ) / 1334

GCD(58, 667) = 38686 / 1334

GCD(58, 667) = 29

Step2:

Here we consider the GCD from the above i.e. 29 as first number and the next as 341

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

LCM(29, 341) = 9889

GCD(29, 341) = ( 29 x 341 ) / 9889

GCD(29, 341) = 9889 / 9889

GCD(29, 341) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 506

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

LCM(1, 506) = 506

GCD(1, 506) = ( 1 x 506 ) / 506

GCD(1, 506) = 506 / 506

GCD(1, 506) = 1

GCD of 58, 667, 341, 506 is 1

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1. What is the GCD of 58, 667, 341, 506?

GCD of 58, 667, 341, 506 is 1

2. Where do I get the detailed procedure to find GCD of 58, 667, 341, 506?

You can find a detailed procedure to find GCD of 58, 667, 341, 506 on our page.

3. How to find GCD of 58, 667, 341, 506 on a calculator?

You can find the GCD of 58, 667, 341, 506 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.