GCD of 279, 706, 321 Calculator

Given Input numbers are 279, 706, 321

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

Divisors of 279

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

1, 3, 9, 31, 93, 279

Divisors of 706

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

1, 2, 353, 706

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 279, 706, 321 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 279, 706, 321 is 1.

Therefore, GCD of numbers 279, 706, 321 is 1

Given Input Data is 279, 706, 321

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

Prime Factorization of 279 is 3 x 3 x 31

Prime Factorization of 706 is 2 x 353

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(279, 706) = 196974

GCD(279, 706) = ( 279 x 706 ) / 196974

GCD(279, 706) = 196974 / 196974

GCD(279, 706) = 1

Step2:

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 279, 706, 321 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 423, 589, 274
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• GCD of 735, 890, 475
• GCD of 138, 814, 423

1. What is the GCD of 279, 706, 321?

GCD of 279, 706, 321 is 1

2. Where do I get the detailed procedure to find GCD of 279, 706, 321?

You can find a detailed procedure to find GCD of 279, 706, 321 on our page.

3. How to find GCD of 279, 706, 321 on a calculator?

You can find the GCD of 279, 706, 321 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.