GCD of 279, 999, 49, 870 Calculator

Given Input numbers are 279, 999, 49, 870

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 999

List of positive integer divisors of 999 that divides 999 without a remainder.

1, 3, 9, 27, 37, 111, 333, 999

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Divisors of 870

List of positive integer divisors of 870 that divides 870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Greatest Common Divisior

We found the divisors of 279, 999, 49, 870 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 279, 999, 49, 870 is 1.

Therefore, GCD of numbers 279, 999, 49, 870 is 1

Given Input Data is 279, 999, 49, 870

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 999 is 3 x 3 x 3 x 37

Prime Factorization of 49 is 7 x 7

Prime Factorization of 870 is 2 x 3 x 5 x 29

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, 999) = 30969

GCD(279, 999) = ( 279 x 999 ) / 30969

GCD(279, 999) = 278721 / 30969

GCD(279, 999) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 49

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

LCM(9, 49) = 441

GCD(9, 49) = ( 9 x 49 ) / 441

GCD(9, 49) = 441 / 441

GCD(9, 49) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 870

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

LCM(1, 870) = 870

GCD(1, 870) = ( 1 x 870 ) / 870

GCD(1, 870) = 870 / 870

GCD(1, 870) = 1

GCD of 279, 999, 49, 870 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 426, 486, 60, 769
• GCD of 464, 643, 70, 663
• GCD of 851, 239, 44, 421
• GCD of 528, 988, 24, 663
• GCD of 888, 445, 70, 834

1. What is the GCD of 279, 999, 49, 870?

GCD of 279, 999, 49, 870 is 1

2. Where do I get the detailed procedure to find GCD of 279, 999, 49, 870?

You can find a detailed procedure to find GCD of 279, 999, 49, 870 on our page.

3. How to find GCD of 279, 999, 49, 870 on a calculator?

You can find the GCD of 279, 999, 49, 870 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.