GCD of 380, 694, 556, 279 Calculator

Given Input numbers are 380, 694, 556, 279

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

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 694

List of positive integer divisors of 694 that divides 694 without a remainder.

1, 2, 347, 694

Divisors of 556

List of positive integer divisors of 556 that divides 556 without a remainder.

1, 2, 4, 139, 278, 556

Divisors of 279

List of positive integer divisors of 279 that divides 279 without a remainder.

1, 3, 9, 31, 93, 279

Greatest Common Divisior

We found the divisors of 380, 694, 556, 279 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 380, 694, 556, 279 is 1.

Therefore, GCD of numbers 380, 694, 556, 279 is 1

Given Input Data is 380, 694, 556, 279

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

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

Prime Factorization of 694 is 2 x 347

Prime Factorization of 556 is 2 x 2 x 139

Prime Factorization of 279 is 3 x 3 x 31

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(380, 694) = 131860

GCD(380, 694) = ( 380 x 694 ) / 131860

GCD(380, 694) = 263720 / 131860

GCD(380, 694) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 556

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

LCM(2, 556) = 556

GCD(2, 556) = ( 2 x 556 ) / 556

GCD(2, 556) = 1112 / 556

GCD(2, 556) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 279

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

LCM(2, 279) = 558

GCD(2, 279) = ( 2 x 279 ) / 558

GCD(2, 279) = 558 / 558

GCD(2, 279) = 1

GCD of 380, 694, 556, 279 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 964, 165, 547, 210
• GCD of 992, 280, 204, 595
• GCD of 449, 748, 539, 112
• GCD of 709, 996, 938, 511
• GCD of 369, 236, 583, 903

1. What is the GCD of 380, 694, 556, 279?

GCD of 380, 694, 556, 279 is 1

2. Where do I get the detailed procedure to find GCD of 380, 694, 556, 279?

You can find a detailed procedure to find GCD of 380, 694, 556, 279 on our page.

3. How to find GCD of 380, 694, 556, 279 on a calculator?

You can find the GCD of 380, 694, 556, 279 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.