GCD of 908, 900, 666, 407 Calculator

Given Input numbers are 908, 900, 666, 407

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

Divisors of 908

List of positive integer divisors of 908 that divides 908 without a remainder.

1, 2, 4, 227, 454, 908

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

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 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Greatest Common Divisior

We found the divisors of 908, 900, 666, 407 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 908, 900, 666, 407 is 1.

Therefore, GCD of numbers 908, 900, 666, 407 is 1

Given Input Data is 908, 900, 666, 407

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

Prime Factorization of 908 is 2 x 2 x 227

Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5

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

Prime Factorization of 407 is 11 x 37

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(908, 900) = 204300

GCD(908, 900) = ( 908 x 900 ) / 204300

GCD(908, 900) = 817200 / 204300

GCD(908, 900) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 666

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

LCM(4, 666) = 1332

GCD(4, 666) = ( 4 x 666 ) / 1332

GCD(4, 666) = 2664 / 1332

GCD(4, 666) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 407

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

LCM(2, 407) = 814

GCD(2, 407) = ( 2 x 407 ) / 814

GCD(2, 407) = 814 / 814

GCD(2, 407) = 1

GCD of 908, 900, 666, 407 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 864, 363, 523, 761
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1. What is the GCD of 908, 900, 666, 407?

GCD of 908, 900, 666, 407 is 1

2. Where do I get the detailed procedure to find GCD of 908, 900, 666, 407?

You can find a detailed procedure to find GCD of 908, 900, 666, 407 on our page.

3. How to find GCD of 908, 900, 666, 407 on a calculator?

You can find the GCD of 908, 900, 666, 407 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.