GCD of 638, 826, 97, 108 Calculator

Given Input numbers are 638, 826, 97, 108

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

Divisors of 638

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

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

Divisors of 826

List of positive integer divisors of 826 that divides 826 without a remainder.

1, 2, 7, 14, 59, 118, 413, 826

Divisors of 97

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

1, 97

Divisors of 108

List of positive integer divisors of 108 that divides 108 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Greatest Common Divisior

We found the divisors of 638, 826, 97, 108 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 638, 826, 97, 108 is 1.

Therefore, GCD of numbers 638, 826, 97, 108 is 1

Given Input Data is 638, 826, 97, 108

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

Prime Factorization of 638 is 2 x 11 x 29

Prime Factorization of 826 is 2 x 7 x 59

Prime Factorization of 97 is 97

Prime Factorization of 108 is 2 x 2 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(638, 826) = 263494

GCD(638, 826) = ( 638 x 826 ) / 263494

GCD(638, 826) = 526988 / 263494

GCD(638, 826) = 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 108

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

LCM(1, 108) = 108

GCD(1, 108) = ( 1 x 108 ) / 108

GCD(1, 108) = 108 / 108

GCD(1, 108) = 1

GCD of 638, 826, 97, 108 is 1

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• GCD of 682, 106, 22, 164
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1. What is the GCD of 638, 826, 97, 108?

GCD of 638, 826, 97, 108 is 1

2. Where do I get the detailed procedure to find GCD of 638, 826, 97, 108?

You can find a detailed procedure to find GCD of 638, 826, 97, 108 on our page.

3. How to find GCD of 638, 826, 97, 108 on a calculator?

You can find the GCD of 638, 826, 97, 108 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.