GCD of 257, 697, 14, 214 Calculator

Given Input numbers are 257, 697, 14, 214

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

Divisors of 257

List of positive integer divisors of 257 that divides 257 without a remainder.

1, 257

Divisors of 697

List of positive integer divisors of 697 that divides 697 without a remainder.

1, 17, 41, 697

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 257, 697, 14, 214 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 257, 697, 14, 214 is 1.

Therefore, GCD of numbers 257, 697, 14, 214 is 1

Given Input Data is 257, 697, 14, 214

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

Prime Factorization of 257 is 257

Prime Factorization of 697 is 17 x 41

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(257, 697) = 179129

GCD(257, 697) = ( 257 x 697 ) / 179129

GCD(257, 697) = 179129 / 179129

GCD(257, 697) = 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 257, 697, 14, 214 is 1

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• GCD of 142, 369, 58, 490
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1. What is the GCD of 257, 697, 14, 214?

GCD of 257, 697, 14, 214 is 1

2. Where do I get the detailed procedure to find GCD of 257, 697, 14, 214?

You can find a detailed procedure to find GCD of 257, 697, 14, 214 on our page.

3. How to find GCD of 257, 697, 14, 214 on a calculator?

You can find the GCD of 257, 697, 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.