GCD of 874, 200, 323, 203 Calculator

Given Input numbers are 874, 200, 323, 203

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

Divisors of 874

List of positive integer divisors of 874 that divides 874 without a remainder.

1, 2, 19, 23, 38, 46, 437, 874

Divisors of 200

List of positive integer divisors of 200 that divides 200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 323

List of positive integer divisors of 323 that divides 323 without a remainder.

1, 17, 19, 323

Divisors of 203

List of positive integer divisors of 203 that divides 203 without a remainder.

1, 7, 29, 203

Greatest Common Divisior

We found the divisors of 874, 200, 323, 203 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 874, 200, 323, 203 is 1.

Therefore, GCD of numbers 874, 200, 323, 203 is 1

Given Input Data is 874, 200, 323, 203

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

Prime Factorization of 874 is 2 x 19 x 23

Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5

Prime Factorization of 323 is 17 x 19

Prime Factorization of 203 is 7 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(874, 200) = 87400

GCD(874, 200) = ( 874 x 200 ) / 87400

GCD(874, 200) = 174800 / 87400

GCD(874, 200) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 323

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

LCM(2, 323) = 646

GCD(2, 323) = ( 2 x 323 ) / 646

GCD(2, 323) = 646 / 646

GCD(2, 323) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 203

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

LCM(1, 203) = 203

GCD(1, 203) = ( 1 x 203 ) / 203

GCD(1, 203) = 203 / 203

GCD(1, 203) = 1

GCD of 874, 200, 323, 203 is 1

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1. What is the GCD of 874, 200, 323, 203?

GCD of 874, 200, 323, 203 is 1

2. Where do I get the detailed procedure to find GCD of 874, 200, 323, 203?

You can find a detailed procedure to find GCD of 874, 200, 323, 203 on our page.

3. How to find GCD of 874, 200, 323, 203 on a calculator?

You can find the GCD of 874, 200, 323, 203 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.