GCD of 213, 422, 97, 972 Calculator

Given Input numbers are 213, 422, 97, 972

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

Divisors of 213

List of positive integer divisors of 213 that divides 213 without a remainder.

1, 3, 71, 213

Divisors of 422

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

1, 2, 211, 422

Divisors of 97

List of positive integer divisors of 97 that divides 97 without a remainder.

1, 97

Divisors of 972

List of positive integer divisors of 972 that divides 972 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Greatest Common Divisior

We found the divisors of 213, 422, 97, 972 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 213, 422, 97, 972 is 1.

Therefore, GCD of numbers 213, 422, 97, 972 is 1

Given Input Data is 213, 422, 97, 972

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

Prime Factorization of 213 is 3 x 71

Prime Factorization of 422 is 2 x 211

Prime Factorization of 97 is 97

Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3

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(213, 422) = 89886

GCD(213, 422) = ( 213 x 422 ) / 89886

GCD(213, 422) = 89886 / 89886

GCD(213, 422) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 97

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

LCM(1, 97) = 97

GCD(1, 97) = ( 1 x 97 ) / 97

GCD(1, 97) = 97 / 97

GCD(1, 97) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 972

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

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

GCD(1, 972) = 972 / 972

GCD(1, 972) = 1

GCD of 213, 422, 97, 972 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 618, 722, 50, 205
• GCD of 102, 132, 67, 875
• GCD of 401, 157, 57, 418
• GCD of 932, 326, 47, 995
• GCD of 631, 747, 76, 947

1. What is the GCD of 213, 422, 97, 972?

GCD of 213, 422, 97, 972 is 1

2. Where do I get the detailed procedure to find GCD of 213, 422, 97, 972?

You can find a detailed procedure to find GCD of 213, 422, 97, 972 on our page.

3. How to find GCD of 213, 422, 97, 972 on a calculator?

You can find the GCD of 213, 422, 97, 972 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.