GCD of 291, 380, 14, 302 Calculator

Given Input numbers are 291, 380, 14, 302

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

Divisors of 291

List of positive integer divisors of 291 that divides 291 without a remainder.

1, 3, 97, 291

Divisors of 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 14

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

1, 2, 7, 14

Divisors of 302

List of positive integer divisors of 302 that divides 302 without a remainder.

1, 2, 151, 302

Greatest Common Divisior

We found the divisors of 291, 380, 14, 302 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 291, 380, 14, 302 is 1.

Therefore, GCD of numbers 291, 380, 14, 302 is 1

Given Input Data is 291, 380, 14, 302

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

Prime Factorization of 291 is 3 x 97

Prime Factorization of 380 is 2 x 2 x 5 x 19

Prime Factorization of 14 is 2 x 7

Prime Factorization of 302 is 2 x 151

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(291, 380) = 110580

GCD(291, 380) = ( 291 x 380 ) / 110580

GCD(291, 380) = 110580 / 110580

GCD(291, 380) = 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 302

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

LCM(1, 302) = 302

GCD(1, 302) = ( 1 x 302 ) / 302

GCD(1, 302) = 302 / 302

GCD(1, 302) = 1

GCD of 291, 380, 14, 302 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 962, 806, 22, 794
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• GCD of 906, 827, 24, 406

1. What is the GCD of 291, 380, 14, 302?

GCD of 291, 380, 14, 302 is 1

2. Where do I get the detailed procedure to find GCD of 291, 380, 14, 302?

You can find a detailed procedure to find GCD of 291, 380, 14, 302 on our page.

3. How to find GCD of 291, 380, 14, 302 on a calculator?

You can find the GCD of 291, 380, 14, 302 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.