GCD of 254, 666, 21, 431 Calculator

Given Input numbers are 254, 666, 21, 431

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

Divisors of 254

List of positive integer divisors of 254 that divides 254 without a remainder.

1, 2, 127, 254

Divisors of 666

List of positive integer divisors of 666 that divides 666 without a remainder.

1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 431

List of positive integer divisors of 431 that divides 431 without a remainder.

1, 431

Greatest Common Divisior

We found the divisors of 254, 666, 21, 431 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 254, 666, 21, 431 is 1.

Therefore, GCD of numbers 254, 666, 21, 431 is 1

Given Input Data is 254, 666, 21, 431

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

Prime Factorization of 254 is 2 x 127

Prime Factorization of 666 is 2 x 3 x 3 x 37

Prime Factorization of 21 is 3 x 7

Prime Factorization of 431 is 431

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(254, 666) = 84582

GCD(254, 666) = ( 254 x 666 ) / 84582

GCD(254, 666) = 169164 / 84582

GCD(254, 666) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 21

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

LCM(2, 21) = 42

GCD(2, 21) = ( 2 x 21 ) / 42

GCD(2, 21) = 42 / 42

GCD(2, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 431

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

LCM(1, 431) = 431

GCD(1, 431) = ( 1 x 431 ) / 431

GCD(1, 431) = 431 / 431

GCD(1, 431) = 1

GCD of 254, 666, 21, 431 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 257, 716, 89, 490
• GCD of 796, 440, 62, 541
• GCD of 201, 422, 70, 966
• GCD of 845, 731, 31, 593
• GCD of 941, 824, 19, 569

1. What is the GCD of 254, 666, 21, 431?

GCD of 254, 666, 21, 431 is 1

2. Where do I get the detailed procedure to find GCD of 254, 666, 21, 431?

You can find a detailed procedure to find GCD of 254, 666, 21, 431 on our page.

3. How to find GCD of 254, 666, 21, 431 on a calculator?

You can find the GCD of 254, 666, 21, 431 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.