GCD of 406, 422, 72, 973 Calculator

Given Input numbers are 406, 422, 72, 973

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

Divisors of 406

List of positive integer divisors of 406 that divides 406 without a remainder.

1, 2, 7, 14, 29, 58, 203, 406

Divisors of 422

List of positive integer divisors of 422 that divides 422 without a remainder.

1, 2, 211, 422

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 973

List of positive integer divisors of 973 that divides 973 without a remainder.

1, 7, 139, 973

Greatest Common Divisior

We found the divisors of 406, 422, 72, 973 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 406, 422, 72, 973 is 1.

Therefore, GCD of numbers 406, 422, 72, 973 is 1

Given Input Data is 406, 422, 72, 973

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

Prime Factorization of 406 is 2 x 7 x 29

Prime Factorization of 422 is 2 x 211

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 973 is 7 x 139

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(406, 422) = 85666

GCD(406, 422) = ( 406 x 422 ) / 85666

GCD(406, 422) = 171332 / 85666

GCD(406, 422) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 72

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

LCM(2, 72) = 72

GCD(2, 72) = ( 2 x 72 ) / 72

GCD(2, 72) = 144 / 72

GCD(2, 72) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 973

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

LCM(2, 973) = 1946

GCD(2, 973) = ( 2 x 973 ) / 1946

GCD(2, 973) = 1946 / 1946

GCD(2, 973) = 1

GCD of 406, 422, 72, 973 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 726, 453, 29, 856
• GCD of 225, 738, 63, 514
• GCD of 517, 666, 61, 275
• GCD of 427, 666, 85, 308
• GCD of 370, 543, 35, 408

1. What is the GCD of 406, 422, 72, 973?

GCD of 406, 422, 72, 973 is 1

2. Where do I get the detailed procedure to find GCD of 406, 422, 72, 973?

You can find a detailed procedure to find GCD of 406, 422, 72, 973 on our page.

3. How to find GCD of 406, 422, 72, 973 on a calculator?

You can find the GCD of 406, 422, 72, 973 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.