GCD of 100, 638, 873 Calculator

Given Input numbers are 100, 638, 873

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

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

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 873

List of positive integer divisors of 873 that divides 873 without a remainder.

1, 3, 9, 97, 291, 873

Greatest Common Divisior

We found the divisors of 100, 638, 873 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 100, 638, 873 is 1.

Therefore, GCD of numbers 100, 638, 873 is 1

Given Input Data is 100, 638, 873

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

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 638 is 2 x 11 x 29

Prime Factorization of 873 is 3 x 3 x 97

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(100, 638) = 31900

GCD(100, 638) = ( 100 x 638 ) / 31900

GCD(100, 638) = 63800 / 31900

GCD(100, 638) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 873

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

LCM(2, 873) = 1746

GCD(2, 873) = ( 2 x 873 ) / 1746

GCD(2, 873) = 1746 / 1746

GCD(2, 873) = 1

GCD of 100, 638, 873 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 511, 165, 815
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• GCD of 578, 390, 332
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1. What is the GCD of 100, 638, 873?

GCD of 100, 638, 873 is 1

2. Where do I get the detailed procedure to find GCD of 100, 638, 873?

You can find a detailed procedure to find GCD of 100, 638, 873 on our page.

3. How to find GCD of 100, 638, 873 on a calculator?

You can find the GCD of 100, 638, 873 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.