GCD of 684, 923, 218, 214 Calculator

Given Input numbers are 684, 923, 218, 214

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

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 923

List of positive integer divisors of 923 that divides 923 without a remainder.

1, 13, 71, 923

Divisors of 218

List of positive integer divisors of 218 that divides 218 without a remainder.

1, 2, 109, 218

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 684, 923, 218, 214 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 684, 923, 218, 214 is 1.

Therefore, GCD of numbers 684, 923, 218, 214 is 1

Given Input Data is 684, 923, 218, 214

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

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

Prime Factorization of 923 is 13 x 71

Prime Factorization of 218 is 2 x 109

Prime Factorization of 214 is 2 x 107

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(684, 923) = 631332

GCD(684, 923) = ( 684 x 923 ) / 631332

GCD(684, 923) = 631332 / 631332

GCD(684, 923) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 218

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

LCM(1, 218) = 218

GCD(1, 218) = ( 1 x 218 ) / 218

GCD(1, 218) = 218 / 218

GCD(1, 218) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 214

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

LCM(1, 214) = 214

GCD(1, 214) = ( 1 x 214 ) / 214

GCD(1, 214) = 214 / 214

GCD(1, 214) = 1

GCD of 684, 923, 218, 214 is 1

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1. What is the GCD of 684, 923, 218, 214?

GCD of 684, 923, 218, 214 is 1

2. Where do I get the detailed procedure to find GCD of 684, 923, 218, 214?

You can find a detailed procedure to find GCD of 684, 923, 218, 214 on our page.

3. How to find GCD of 684, 923, 218, 214 on a calculator?

You can find the GCD of 684, 923, 218, 214 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.