GCD of 268, 121, 405, 500 Calculator

Given Input numbers are 268, 121, 405, 500

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

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Divisors of 121

List of positive integer divisors of 121 that divides 121 without a remainder.

1, 11, 121

Divisors of 405

List of positive integer divisors of 405 that divides 405 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 135, 405

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

Greatest Common Divisior

We found the divisors of 268, 121, 405, 500 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 268, 121, 405, 500 is 1.

Therefore, GCD of numbers 268, 121, 405, 500 is 1

Given Input Data is 268, 121, 405, 500

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

Prime Factorization of 268 is 2 x 2 x 67

Prime Factorization of 121 is 11 x 11

Prime Factorization of 405 is 3 x 3 x 3 x 3 x 5

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

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(268, 121) = 32428

GCD(268, 121) = ( 268 x 121 ) / 32428

GCD(268, 121) = 32428 / 32428

GCD(268, 121) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 405

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

LCM(1, 405) = 405

GCD(1, 405) = ( 1 x 405 ) / 405

GCD(1, 405) = 405 / 405

GCD(1, 405) = 1

Step3:

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

GCD of 268, 121, 405, 500 is 1

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1. What is the GCD of 268, 121, 405, 500?

GCD of 268, 121, 405, 500 is 1

2. Where do I get the detailed procedure to find GCD of 268, 121, 405, 500?

You can find a detailed procedure to find GCD of 268, 121, 405, 500 on our page.

3. How to find GCD of 268, 121, 405, 500 on a calculator?

You can find the GCD of 268, 121, 405, 500 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.