GCD of 20, 461, 405, 268 Calculator

Given Input numbers are 20, 461, 405, 268

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

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 461

List of positive integer divisors of 461 that divides 461 without a remainder.

1, 461

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 268

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

1, 2, 4, 67, 134, 268

Greatest Common Divisior

We found the divisors of 20, 461, 405, 268 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 20, 461, 405, 268 is 1.

Therefore, GCD of numbers 20, 461, 405, 268 is 1

Given Input Data is 20, 461, 405, 268

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

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 461 is 461

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

Prime Factorization of 268 is 2 x 2 x 67

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(20, 461) = 9220

GCD(20, 461) = ( 20 x 461 ) / 9220

GCD(20, 461) = 9220 / 9220

GCD(20, 461) = 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 268

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

LCM(1, 268) = 268

GCD(1, 268) = ( 1 x 268 ) / 268

GCD(1, 268) = 268 / 268

GCD(1, 268) = 1

GCD of 20, 461, 405, 268 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 73, 697, 424, 542
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• GCD of 33, 599, 232, 334
• GCD of 62, 760, 486, 969
• GCD of 66, 644, 141, 220

1. What is the GCD of 20, 461, 405, 268?

GCD of 20, 461, 405, 268 is 1

2. Where do I get the detailed procedure to find GCD of 20, 461, 405, 268?

You can find a detailed procedure to find GCD of 20, 461, 405, 268 on our page.

3. How to find GCD of 20, 461, 405, 268 on a calculator?

You can find the GCD of 20, 461, 405, 268 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.