GCD of 97, 154, 422, 990 Calculator

Given Input numbers are 97, 154, 422, 990

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

Divisors of 97

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

1, 97

Divisors of 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

Divisors of 422

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

1, 2, 211, 422

Divisors of 990

List of positive integer divisors of 990 that divides 990 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Greatest Common Divisior

We found the divisors of 97, 154, 422, 990 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 97, 154, 422, 990 is 1.

Therefore, GCD of numbers 97, 154, 422, 990 is 1

Given Input Data is 97, 154, 422, 990

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

Prime Factorization of 97 is 97

Prime Factorization of 154 is 2 x 7 x 11

Prime Factorization of 422 is 2 x 211

Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11

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(97, 154) = 14938

GCD(97, 154) = ( 97 x 154 ) / 14938

GCD(97, 154) = 14938 / 14938

GCD(97, 154) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 422

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

LCM(1, 422) = 422

GCD(1, 422) = ( 1 x 422 ) / 422

GCD(1, 422) = 422 / 422

GCD(1, 422) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 990

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

LCM(1, 990) = 990

GCD(1, 990) = ( 1 x 990 ) / 990

GCD(1, 990) = 990 / 990

GCD(1, 990) = 1

GCD of 97, 154, 422, 990 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 10, 621, 447, 191
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1. What is the GCD of 97, 154, 422, 990?

GCD of 97, 154, 422, 990 is 1

2. Where do I get the detailed procedure to find GCD of 97, 154, 422, 990?

You can find a detailed procedure to find GCD of 97, 154, 422, 990 on our page.

3. How to find GCD of 97, 154, 422, 990 on a calculator?

You can find the GCD of 97, 154, 422, 990 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.