GCD of 909, 981, 74, 473 Calculator

Given Input numbers are 909, 981, 74, 473

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

Divisors of 909

List of positive integer divisors of 909 that divides 909 without a remainder.

1, 3, 9, 101, 303, 909

Divisors of 981

List of positive integer divisors of 981 that divides 981 without a remainder.

1, 3, 9, 109, 327, 981

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

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 909, 981, 74, 473 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 909, 981, 74, 473 is 1.

Therefore, GCD of numbers 909, 981, 74, 473 is 1

Given Input Data is 909, 981, 74, 473

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

Prime Factorization of 909 is 3 x 3 x 101

Prime Factorization of 981 is 3 x 3 x 109

Prime Factorization of 74 is 2 x 37

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(909, 981) = 99081

GCD(909, 981) = ( 909 x 981 ) / 99081

GCD(909, 981) = 891729 / 99081

GCD(909, 981) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 74

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

LCM(9, 74) = 666

GCD(9, 74) = ( 9 x 74 ) / 666

GCD(9, 74) = 666 / 666

GCD(9, 74) = 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 909, 981, 74, 473 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 695, 154, 45, 375
• GCD of 138, 389, 14, 279
• GCD of 524, 945, 98, 705
• GCD of 316, 364, 19, 565
• GCD of 924, 604, 81, 472

1. What is the GCD of 909, 981, 74, 473?

GCD of 909, 981, 74, 473 is 1

2. Where do I get the detailed procedure to find GCD of 909, 981, 74, 473?

You can find a detailed procedure to find GCD of 909, 981, 74, 473 on our page.

3. How to find GCD of 909, 981, 74, 473 on a calculator?

You can find the GCD of 909, 981, 74, 473 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.