GCD of 592, 284, 674, 214 Calculator

Given Input numbers are 592, 284, 674, 214

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

Divisors of 592

List of positive integer divisors of 592 that divides 592 without a remainder.

1, 2, 4, 8, 16, 37, 74, 148, 296, 592

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Divisors of 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Divisors of 214

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

1, 2, 107, 214

Greatest Common Divisior

We found the divisors of 592, 284, 674, 214 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 592, 284, 674, 214 is 2.

Therefore, GCD of numbers 592, 284, 674, 214 is 2

Given Input Data is 592, 284, 674, 214

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

Prime Factorization of 592 is 2 x 2 x 2 x 2 x 37

Prime Factorization of 284 is 2 x 2 x 71

Prime Factorization of 674 is 2 x 337

Prime Factorization of 214 is 2 x 107

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(592, 284) = 42032

GCD(592, 284) = ( 592 x 284 ) / 42032

GCD(592, 284) = 168128 / 42032

GCD(592, 284) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 674

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

LCM(4, 674) = 1348

GCD(4, 674) = ( 4 x 674 ) / 1348

GCD(4, 674) = 2696 / 1348

GCD(4, 674) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 214

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

LCM(2, 214) = 214

GCD(2, 214) = ( 2 x 214 ) / 214

GCD(2, 214) = 428 / 214

GCD(2, 214) = 2

GCD of 592, 284, 674, 214 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 625, 384, 628, 523
• GCD of 540, 652, 127, 676
• GCD of 262, 403, 500, 632
• GCD of 194, 454, 970, 843
• GCD of 117, 713, 515, 441

1. What is the GCD of 592, 284, 674, 214?

GCD of 592, 284, 674, 214 is 2

2. Where do I get the detailed procedure to find GCD of 592, 284, 674, 214?

You can find a detailed procedure to find GCD of 592, 284, 674, 214 on our page.

3. How to find GCD of 592, 284, 674, 214 on a calculator?

You can find the GCD of 592, 284, 674, 214 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.