GCD of 614, 723, 14, 214 Calculator

Given Input numbers are 614, 723, 14, 214

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

Divisors of 614

List of positive integer divisors of 614 that divides 614 without a remainder.

1, 2, 307, 614

Divisors of 723

List of positive integer divisors of 723 that divides 723 without a remainder.

1, 3, 241, 723

Divisors of 14

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

1, 2, 7, 14

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 614, 723, 14, 214 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 614, 723, 14, 214 is 1.

Therefore, GCD of numbers 614, 723, 14, 214 is 1

Given Input Data is 614, 723, 14, 214

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

Prime Factorization of 614 is 2 x 307

Prime Factorization of 723 is 3 x 241

Prime Factorization of 14 is 2 x 7

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(614, 723) = 443922

GCD(614, 723) = ( 614 x 723 ) / 443922

GCD(614, 723) = 443922 / 443922

GCD(614, 723) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 14

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

LCM(1, 14) = 14

GCD(1, 14) = ( 1 x 14 ) / 14

GCD(1, 14) = 14 / 14

GCD(1, 14) = 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 614, 723, 14, 214 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 144, 932, 94, 777
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• GCD of 290, 984, 40, 268

1. What is the GCD of 614, 723, 14, 214?

GCD of 614, 723, 14, 214 is 1

2. Where do I get the detailed procedure to find GCD of 614, 723, 14, 214?

You can find a detailed procedure to find GCD of 614, 723, 14, 214 on our page.

3. How to find GCD of 614, 723, 14, 214 on a calculator?

You can find the GCD of 614, 723, 14, 214 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.