GCD of 387, 279, 409, 706 Calculator

Given Input numbers are 387, 279, 409, 706

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

Divisors of 387

List of positive integer divisors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

Divisors of 279

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

1, 3, 9, 31, 93, 279

Divisors of 409

List of positive integer divisors of 409 that divides 409 without a remainder.

1, 409

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Greatest Common Divisior

We found the divisors of 387, 279, 409, 706 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 387, 279, 409, 706 is 1.

Therefore, GCD of numbers 387, 279, 409, 706 is 1

Given Input Data is 387, 279, 409, 706

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

Prime Factorization of 387 is 3 x 3 x 43

Prime Factorization of 279 is 3 x 3 x 31

Prime Factorization of 409 is 409

Prime Factorization of 706 is 2 x 353

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(387, 279) = 11997

GCD(387, 279) = ( 387 x 279 ) / 11997

GCD(387, 279) = 107973 / 11997

GCD(387, 279) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 409

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

LCM(9, 409) = 3681

GCD(9, 409) = ( 9 x 409 ) / 3681

GCD(9, 409) = 3681 / 3681

GCD(9, 409) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 706

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

LCM(1, 706) = 706

GCD(1, 706) = ( 1 x 706 ) / 706

GCD(1, 706) = 706 / 706

GCD(1, 706) = 1

GCD of 387, 279, 409, 706 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 904, 512, 866, 974
• GCD of 181, 286, 671, 210
• GCD of 613, 933, 766, 991
• GCD of 587, 252, 275, 103
• GCD of 755, 123, 791, 984

1. What is the GCD of 387, 279, 409, 706?

GCD of 387, 279, 409, 706 is 1

2. Where do I get the detailed procedure to find GCD of 387, 279, 409, 706?

You can find a detailed procedure to find GCD of 387, 279, 409, 706 on our page.

3. How to find GCD of 387, 279, 409, 706 on a calculator?

You can find the GCD of 387, 279, 409, 706 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.