GCD of 873, 825, 629, 268 Calculator

Given Input numbers are 873, 825, 629, 268

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

Divisors of 873

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

1, 3, 9, 97, 291, 873

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 629

List of positive integer divisors of 629 that divides 629 without a remainder.

1, 17, 37, 629

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Greatest Common Divisior

We found the divisors of 873, 825, 629, 268 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 873, 825, 629, 268 is 1.

Therefore, GCD of numbers 873, 825, 629, 268 is 1

Given Input Data is 873, 825, 629, 268

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

Prime Factorization of 873 is 3 x 3 x 97

Prime Factorization of 825 is 3 x 5 x 5 x 11

Prime Factorization of 629 is 17 x 37

Prime Factorization of 268 is 2 x 2 x 67

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(873, 825) = 240075

GCD(873, 825) = ( 873 x 825 ) / 240075

GCD(873, 825) = 720225 / 240075

GCD(873, 825) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 629

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

LCM(3, 629) = 1887

GCD(3, 629) = ( 3 x 629 ) / 1887

GCD(3, 629) = 1887 / 1887

GCD(3, 629) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 268

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

LCM(1, 268) = 268

GCD(1, 268) = ( 1 x 268 ) / 268

GCD(1, 268) = 268 / 268

GCD(1, 268) = 1

GCD of 873, 825, 629, 268 is 1

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1. What is the GCD of 873, 825, 629, 268?

GCD of 873, 825, 629, 268 is 1

2. Where do I get the detailed procedure to find GCD of 873, 825, 629, 268?

You can find a detailed procedure to find GCD of 873, 825, 629, 268 on our page.

3. How to find GCD of 873, 825, 629, 268 on a calculator?

You can find the GCD of 873, 825, 629, 268 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.