GCD of 279, 577, 998, 556 Calculator

Given Input numbers are 279, 577, 998, 556

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 577

List of positive integer divisors of 577 that divides 577 without a remainder.

1, 577

Divisors of 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Divisors of 556

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

1, 2, 4, 139, 278, 556

Greatest Common Divisior

We found the divisors of 279, 577, 998, 556 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 279, 577, 998, 556 is 1.

Therefore, GCD of numbers 279, 577, 998, 556 is 1

Given Input Data is 279, 577, 998, 556

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 577 is 577

Prime Factorization of 998 is 2 x 499

Prime Factorization of 556 is 2 x 2 x 139

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, 577) = 160983

GCD(279, 577) = ( 279 x 577 ) / 160983

GCD(279, 577) = 160983 / 160983

GCD(279, 577) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 998

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

LCM(1, 998) = 998

GCD(1, 998) = ( 1 x 998 ) / 998

GCD(1, 998) = 998 / 998

GCD(1, 998) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 556

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

LCM(1, 556) = 556

GCD(1, 556) = ( 1 x 556 ) / 556

GCD(1, 556) = 556 / 556

GCD(1, 556) = 1

GCD of 279, 577, 998, 556 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 371, 990, 399, 955
• GCD of 652, 777, 533, 122
• GCD of 776, 957, 840, 794
• GCD of 334, 530, 591, 495
• GCD of 425, 157, 345, 227

1. What is the GCD of 279, 577, 998, 556?

GCD of 279, 577, 998, 556 is 1

2. Where do I get the detailed procedure to find GCD of 279, 577, 998, 556?

You can find a detailed procedure to find GCD of 279, 577, 998, 556 on our page.

3. How to find GCD of 279, 577, 998, 556 on a calculator?

You can find the GCD of 279, 577, 998, 556 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.