GCD of 314, 206, 289, 168 Calculator

Given Input numbers are 314, 206, 289, 168

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

Divisors of 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Divisors of 206

List of positive integer divisors of 206 that divides 206 without a remainder.

1, 2, 103, 206

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Divisors of 168

List of positive integer divisors of 168 that divides 168 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Greatest Common Divisior

We found the divisors of 314, 206, 289, 168 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 314, 206, 289, 168 is 1.

Therefore, GCD of numbers 314, 206, 289, 168 is 1

Given Input Data is 314, 206, 289, 168

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

Prime Factorization of 314 is 2 x 157

Prime Factorization of 206 is 2 x 103

Prime Factorization of 289 is 17 x 17

Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7

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(314, 206) = 32342

GCD(314, 206) = ( 314 x 206 ) / 32342

GCD(314, 206) = 64684 / 32342

GCD(314, 206) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 289

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

LCM(2, 289) = 578

GCD(2, 289) = ( 2 x 289 ) / 578

GCD(2, 289) = 578 / 578

GCD(2, 289) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 168

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

LCM(1, 168) = 168

GCD(1, 168) = ( 1 x 168 ) / 168

GCD(1, 168) = 168 / 168

GCD(1, 168) = 1

GCD of 314, 206, 289, 168 is 1

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1. What is the GCD of 314, 206, 289, 168?

GCD of 314, 206, 289, 168 is 1

2. Where do I get the detailed procedure to find GCD of 314, 206, 289, 168?

You can find a detailed procedure to find GCD of 314, 206, 289, 168 on our page.

3. How to find GCD of 314, 206, 289, 168 on a calculator?

You can find the GCD of 314, 206, 289, 168 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.