GCD of 874, 361, 214, 229 Calculator

Given Input numbers are 874, 361, 214, 229

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 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Divisors of 214

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

1, 2, 107, 214

Divisors of 229

List of positive integer divisors of 229 that divides 229 without a remainder.

1, 229

Greatest Common Divisior

We found the divisors of 874, 361, 214, 229 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 874, 361, 214, 229 is 1.

Therefore, GCD of numbers 874, 361, 214, 229 is 1

Given Input Data is 874, 361, 214, 229

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 361 is 19 x 19

Prime Factorization of 214 is 2 x 107

Prime Factorization of 229 is 229

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, 361) = 16606

GCD(874, 361) = ( 874 x 361 ) / 16606

GCD(874, 361) = 315514 / 16606

GCD(874, 361) = 19

Step2:

Here we consider the GCD from the above i.e. 19 as first number and the next as 214

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

LCM(19, 214) = 4066

GCD(19, 214) = ( 19 x 214 ) / 4066

GCD(19, 214) = 4066 / 4066

GCD(19, 214) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 229

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

LCM(1, 229) = 229

GCD(1, 229) = ( 1 x 229 ) / 229

GCD(1, 229) = 229 / 229

GCD(1, 229) = 1

GCD of 874, 361, 214, 229 is 1

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1. What is the GCD of 874, 361, 214, 229?

GCD of 874, 361, 214, 229 is 1

2. Where do I get the detailed procedure to find GCD of 874, 361, 214, 229?

You can find a detailed procedure to find GCD of 874, 361, 214, 229 on our page.

3. How to find GCD of 874, 361, 214, 229 on a calculator?

You can find the GCD of 874, 361, 214, 229 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.