GCD of 664, 454, 27, 102 Calculator

Given Input numbers are 664, 454, 27, 102

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

Divisors of 664

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

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

Divisors of 454

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

1, 2, 227, 454

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

Divisors of 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Greatest Common Divisior

We found the divisors of 664, 454, 27, 102 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 664, 454, 27, 102 is 1.

Therefore, GCD of numbers 664, 454, 27, 102 is 1

Given Input Data is 664, 454, 27, 102

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

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

Prime Factorization of 454 is 2 x 227

Prime Factorization of 27 is 3 x 3 x 3

Prime Factorization of 102 is 2 x 3 x 17

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(664, 454) = 150728

GCD(664, 454) = ( 664 x 454 ) / 150728

GCD(664, 454) = 301456 / 150728

GCD(664, 454) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 27

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

LCM(2, 27) = 54

GCD(2, 27) = ( 2 x 27 ) / 54

GCD(2, 27) = 54 / 54

GCD(2, 27) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 102

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

LCM(1, 102) = 102

GCD(1, 102) = ( 1 x 102 ) / 102

GCD(1, 102) = 102 / 102

GCD(1, 102) = 1

GCD of 664, 454, 27, 102 is 1

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• GCD of 594, 514, 73, 807
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1. What is the GCD of 664, 454, 27, 102?

GCD of 664, 454, 27, 102 is 1

2. Where do I get the detailed procedure to find GCD of 664, 454, 27, 102?

You can find a detailed procedure to find GCD of 664, 454, 27, 102 on our page.

3. How to find GCD of 664, 454, 27, 102 on a calculator?

You can find the GCD of 664, 454, 27, 102 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.