GCD of 635, 434, 916, 873 Calculator

Given Input numbers are 635, 434, 916, 873

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

Divisors of 635

List of positive integer divisors of 635 that divides 635 without a remainder.

1, 5, 127, 635

Divisors of 434

List of positive integer divisors of 434 that divides 434 without a remainder.

1, 2, 7, 14, 31, 62, 217, 434

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

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 635, 434, 916, 873 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 635, 434, 916, 873 is 1.

Therefore, GCD of numbers 635, 434, 916, 873 is 1

Given Input Data is 635, 434, 916, 873

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

Prime Factorization of 635 is 5 x 127

Prime Factorization of 434 is 2 x 7 x 31

Prime Factorization of 916 is 2 x 2 x 229

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(635, 434) = 275590

GCD(635, 434) = ( 635 x 434 ) / 275590

GCD(635, 434) = 275590 / 275590

GCD(635, 434) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 916

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

LCM(1, 916) = 916

GCD(1, 916) = ( 1 x 916 ) / 916

GCD(1, 916) = 916 / 916

GCD(1, 916) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 873

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

LCM(1, 873) = 873

GCD(1, 873) = ( 1 x 873 ) / 873

GCD(1, 873) = 873 / 873

GCD(1, 873) = 1

GCD of 635, 434, 916, 873 is 1

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1. What is the GCD of 635, 434, 916, 873?

GCD of 635, 434, 916, 873 is 1

2. Where do I get the detailed procedure to find GCD of 635, 434, 916, 873?

You can find a detailed procedure to find GCD of 635, 434, 916, 873 on our page.

3. How to find GCD of 635, 434, 916, 873 on a calculator?

You can find the GCD of 635, 434, 916, 873 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.