GCD of 401, 668, 500, 108 Calculator

Given Input numbers are 401, 668, 500, 108

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

Divisors of 401

List of positive integer divisors of 401 that divides 401 without a remainder.

1, 401

Divisors of 668

List of positive integer divisors of 668 that divides 668 without a remainder.

1, 2, 4, 167, 334, 668

Divisors of 500

List of positive integer divisors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Greatest Common Divisior

We found the divisors of 401, 668, 500, 108 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 401, 668, 500, 108 is 1.

Therefore, GCD of numbers 401, 668, 500, 108 is 1

Given Input Data is 401, 668, 500, 108

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

Prime Factorization of 401 is 401

Prime Factorization of 668 is 2 x 2 x 167

Prime Factorization of 500 is 2 x 2 x 5 x 5 x 5

Prime Factorization of 108 is 2 x 2 x 3 x 3 x 3

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(401, 668) = 267868

GCD(401, 668) = ( 401 x 668 ) / 267868

GCD(401, 668) = 267868 / 267868

GCD(401, 668) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 500

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

LCM(1, 500) = 500

GCD(1, 500) = ( 1 x 500 ) / 500

GCD(1, 500) = 500 / 500

GCD(1, 500) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 108

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

LCM(1, 108) = 108

GCD(1, 108) = ( 1 x 108 ) / 108

GCD(1, 108) = 108 / 108

GCD(1, 108) = 1

GCD of 401, 668, 500, 108 is 1

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1. What is the GCD of 401, 668, 500, 108?

GCD of 401, 668, 500, 108 is 1

2. Where do I get the detailed procedure to find GCD of 401, 668, 500, 108?

You can find a detailed procedure to find GCD of 401, 668, 500, 108 on our page.

3. How to find GCD of 401, 668, 500, 108 on a calculator?

You can find the GCD of 401, 668, 500, 108 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.