GCD of 874, 214, 804, 231 Calculator

Given Input numbers are 874, 214, 804, 231

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 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Divisors of 804

List of positive integer divisors of 804 that divides 804 without a remainder.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

Divisors of 231

List of positive integer divisors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

Greatest Common Divisior

We found the divisors of 874, 214, 804, 231 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 874, 214, 804, 231 is 1.

Therefore, GCD of numbers 874, 214, 804, 231 is 1

Given Input Data is 874, 214, 804, 231

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 214 is 2 x 107

Prime Factorization of 804 is 2 x 2 x 3 x 67

Prime Factorization of 231 is 3 x 7 x 11

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, 214) = 93518

GCD(874, 214) = ( 874 x 214 ) / 93518

GCD(874, 214) = 187036 / 93518

GCD(874, 214) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 804

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

LCM(2, 804) = 804

GCD(2, 804) = ( 2 x 804 ) / 804

GCD(2, 804) = 1608 / 804

GCD(2, 804) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 231

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

LCM(2, 231) = 462

GCD(2, 231) = ( 2 x 231 ) / 462

GCD(2, 231) = 462 / 462

GCD(2, 231) = 1

GCD of 874, 214, 804, 231 is 1

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1. What is the GCD of 874, 214, 804, 231?

GCD of 874, 214, 804, 231 is 1

2. Where do I get the detailed procedure to find GCD of 874, 214, 804, 231?

You can find a detailed procedure to find GCD of 874, 214, 804, 231 on our page.

3. How to find GCD of 874, 214, 804, 231 on a calculator?

You can find the GCD of 874, 214, 804, 231 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.