GCD of 214, 307, 14, 350 Calculator

Given Input numbers are 214, 307, 14, 350

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

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Divisors of 307

List of positive integer divisors of 307 that divides 307 without a remainder.

1, 307

Divisors of 14

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

1, 2, 7, 14

Divisors of 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Greatest Common Divisior

We found the divisors of 214, 307, 14, 350 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 214, 307, 14, 350 is 1.

Therefore, GCD of numbers 214, 307, 14, 350 is 1

Given Input Data is 214, 307, 14, 350

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

Prime Factorization of 214 is 2 x 107

Prime Factorization of 307 is 307

Prime Factorization of 14 is 2 x 7

Prime Factorization of 350 is 2 x 5 x 5 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(214, 307) = 65698

GCD(214, 307) = ( 214 x 307 ) / 65698

GCD(214, 307) = 65698 / 65698

GCD(214, 307) = 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 350

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

LCM(1, 350) = 350

GCD(1, 350) = ( 1 x 350 ) / 350

GCD(1, 350) = 350 / 350

GCD(1, 350) = 1

GCD of 214, 307, 14, 350 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 906, 197, 67, 404
• GCD of 666, 239, 74, 756
• GCD of 134, 247, 56, 784
• GCD of 225, 510, 57, 102
• GCD of 866, 877, 27, 513

1. What is the GCD of 214, 307, 14, 350?

GCD of 214, 307, 14, 350 is 1

2. Where do I get the detailed procedure to find GCD of 214, 307, 14, 350?

You can find a detailed procedure to find GCD of 214, 307, 14, 350 on our page.

3. How to find GCD of 214, 307, 14, 350 on a calculator?

You can find the GCD of 214, 307, 14, 350 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.