GCD of 14, 668, 228, 707 Calculator

Given Input numbers are 14, 668, 228, 707

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

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Divisors of 668

List of positive integer divisors of 668 that divides 668 without a remainder.

1, 2, 4, 167, 334, 668

Divisors of 228

List of positive integer divisors of 228 that divides 228 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 707

List of positive integer divisors of 707 that divides 707 without a remainder.

1, 7, 101, 707

Greatest Common Divisior

We found the divisors of 14, 668, 228, 707 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 14, 668, 228, 707 is 1.

Therefore, GCD of numbers 14, 668, 228, 707 is 1

Given Input Data is 14, 668, 228, 707

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

Prime Factorization of 14 is 2 x 7

Prime Factorization of 668 is 2 x 2 x 167

Prime Factorization of 228 is 2 x 2 x 3 x 19

Prime Factorization of 707 is 7 x 101

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(14, 668) = 4676

GCD(14, 668) = ( 14 x 668 ) / 4676

GCD(14, 668) = 9352 / 4676

GCD(14, 668) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 228

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

LCM(2, 228) = 228

GCD(2, 228) = ( 2 x 228 ) / 228

GCD(2, 228) = 456 / 228

GCD(2, 228) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 707

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

LCM(2, 707) = 1414

GCD(2, 707) = ( 2 x 707 ) / 1414

GCD(2, 707) = 1414 / 1414

GCD(2, 707) = 1

GCD of 14, 668, 228, 707 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 28, 787, 483, 954
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• GCD of 86, 197, 768, 203

1. What is the GCD of 14, 668, 228, 707?

GCD of 14, 668, 228, 707 is 1

2. Where do I get the detailed procedure to find GCD of 14, 668, 228, 707?

You can find a detailed procedure to find GCD of 14, 668, 228, 707 on our page.

3. How to find GCD of 14, 668, 228, 707 on a calculator?

You can find the GCD of 14, 668, 228, 707 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.