GCD of 109, 278, 19, 321 Calculator

Given Input numbers are 109, 278, 19, 321

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

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 278

List of positive integer divisors of 278 that divides 278 without a remainder.

1, 2, 139, 278

Divisors of 19

List of positive integer divisors of 19 that divides 19 without a remainder.

1, 19

Divisors of 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Greatest Common Divisior

We found the divisors of 109, 278, 19, 321 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 109, 278, 19, 321 is 1.

Therefore, GCD of numbers 109, 278, 19, 321 is 1

Given Input Data is 109, 278, 19, 321

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

Prime Factorization of 109 is 109

Prime Factorization of 278 is 2 x 139

Prime Factorization of 19 is 19

Prime Factorization of 321 is 3 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(109, 278) = 30302

GCD(109, 278) = ( 109 x 278 ) / 30302

GCD(109, 278) = 30302 / 30302

GCD(109, 278) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 19

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

LCM(1, 19) = 19

GCD(1, 19) = ( 1 x 19 ) / 19

GCD(1, 19) = 19 / 19

GCD(1, 19) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 321

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

LCM(1, 321) = 321

GCD(1, 321) = ( 1 x 321 ) / 321

GCD(1, 321) = 321 / 321

GCD(1, 321) = 1

GCD of 109, 278, 19, 321 is 1

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• GCD of 313, 414, 53, 631
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• GCD of 986, 156, 55, 315

1. What is the GCD of 109, 278, 19, 321?

GCD of 109, 278, 19, 321 is 1

2. Where do I get the detailed procedure to find GCD of 109, 278, 19, 321?

You can find a detailed procedure to find GCD of 109, 278, 19, 321 on our page.

3. How to find GCD of 109, 278, 19, 321 on a calculator?

You can find the GCD of 109, 278, 19, 321 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.