GCD of 17, 261, 454, 664 Calculator

Given Input numbers are 17, 261, 454, 664

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

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 261

List of positive integer divisors of 261 that divides 261 without a remainder.

1, 3, 9, 29, 87, 261

Divisors of 454

List of positive integer divisors of 454 that divides 454 without a remainder.

1, 2, 227, 454

Divisors of 664

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

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

Greatest Common Divisior

We found the divisors of 17, 261, 454, 664 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 17, 261, 454, 664 is 1.

Therefore, GCD of numbers 17, 261, 454, 664 is 1

Given Input Data is 17, 261, 454, 664

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

Prime Factorization of 17 is 17

Prime Factorization of 261 is 3 x 3 x 29

Prime Factorization of 454 is 2 x 227

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

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(17, 261) = 4437

GCD(17, 261) = ( 17 x 261 ) / 4437

GCD(17, 261) = 4437 / 4437

GCD(17, 261) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 454

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

LCM(1, 454) = 454

GCD(1, 454) = ( 1 x 454 ) / 454

GCD(1, 454) = 454 / 454

GCD(1, 454) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 664

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

LCM(1, 664) = 664

GCD(1, 664) = ( 1 x 664 ) / 664

GCD(1, 664) = 664 / 664

GCD(1, 664) = 1

GCD of 17, 261, 454, 664 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 51, 708, 811, 452
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• GCD of 19, 630, 628, 419

1. What is the GCD of 17, 261, 454, 664?

GCD of 17, 261, 454, 664 is 1

2. Where do I get the detailed procedure to find GCD of 17, 261, 454, 664?

You can find a detailed procedure to find GCD of 17, 261, 454, 664 on our page.

3. How to find GCD of 17, 261, 454, 664 on a calculator?

You can find the GCD of 17, 261, 454, 664 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.