GCD of 25, 666, 312, 473 Calculator

Given Input numbers are 25, 666, 312, 473

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

Divisors of 25

List of positive integer divisors of 25 that divides 25 without a remainder.

1, 5, 25

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 312

List of positive integer divisors of 312 that divides 312 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

Divisors of 473

List of positive integer divisors of 473 that divides 473 without a remainder.

1, 11, 43, 473

Greatest Common Divisior

We found the divisors of 25, 666, 312, 473 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 25, 666, 312, 473 is 1.

Therefore, GCD of numbers 25, 666, 312, 473 is 1

Given Input Data is 25, 666, 312, 473

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

Prime Factorization of 25 is 5 x 5

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

Prime Factorization of 312 is 2 x 2 x 2 x 3 x 13

Prime Factorization of 473 is 11 x 43

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(25, 666) = 16650

GCD(25, 666) = ( 25 x 666 ) / 16650

GCD(25, 666) = 16650 / 16650

GCD(25, 666) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 312

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

LCM(1, 312) = 312

GCD(1, 312) = ( 1 x 312 ) / 312

GCD(1, 312) = 312 / 312

GCD(1, 312) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 473

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

LCM(1, 473) = 473

GCD(1, 473) = ( 1 x 473 ) / 473

GCD(1, 473) = 473 / 473

GCD(1, 473) = 1

GCD of 25, 666, 312, 473 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 19, 449, 883, 975
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• GCD of 98, 268, 905, 907
• GCD of 66, 217, 759, 963

1. What is the GCD of 25, 666, 312, 473?

GCD of 25, 666, 312, 473 is 1

2. Where do I get the detailed procedure to find GCD of 25, 666, 312, 473?

You can find a detailed procedure to find GCD of 25, 666, 312, 473 on our page.

3. How to find GCD of 25, 666, 312, 473 on a calculator?

You can find the GCD of 25, 666, 312, 473 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.