GCD of 976, 634, 97, 638 Calculator

Given Input numbers are 976, 634, 97, 638

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

Divisors of 976

List of positive integer divisors of 976 that divides 976 without a remainder.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 634

List of positive integer divisors of 634 that divides 634 without a remainder.

1, 2, 317, 634

Divisors of 97

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

1, 97

Divisors of 638

List of positive integer divisors of 638 that divides 638 without a remainder.

1, 2, 11, 22, 29, 58, 319, 638

Greatest Common Divisior

We found the divisors of 976, 634, 97, 638 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 976, 634, 97, 638 is 1.

Therefore, GCD of numbers 976, 634, 97, 638 is 1

Given Input Data is 976, 634, 97, 638

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

Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61

Prime Factorization of 634 is 2 x 317

Prime Factorization of 97 is 97

Prime Factorization of 638 is 2 x 11 x 29

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(976, 634) = 309392

GCD(976, 634) = ( 976 x 634 ) / 309392

GCD(976, 634) = 618784 / 309392

GCD(976, 634) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 97

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

LCM(2, 97) = 194

GCD(2, 97) = ( 2 x 97 ) / 194

GCD(2, 97) = 194 / 194

GCD(2, 97) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 638

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

LCM(1, 638) = 638

GCD(1, 638) = ( 1 x 638 ) / 638

GCD(1, 638) = 638 / 638

GCD(1, 638) = 1

GCD of 976, 634, 97, 638 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 920, 510, 95, 750
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• GCD of 404, 370, 31, 556

1. What is the GCD of 976, 634, 97, 638?

GCD of 976, 634, 97, 638 is 1

2. Where do I get the detailed procedure to find GCD of 976, 634, 97, 638?

You can find a detailed procedure to find GCD of 976, 634, 97, 638 on our page.

3. How to find GCD of 976, 634, 97, 638 on a calculator?

You can find the GCD of 976, 634, 97, 638 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.