GCD of 279, 267, 490, 442 Calculator

Given Input numbers are 279, 267, 490, 442

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 267

List of positive integer divisors of 267 that divides 267 without a remainder.

1, 3, 89, 267

Divisors of 490

List of positive integer divisors of 490 that divides 490 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 442

List of positive integer divisors of 442 that divides 442 without a remainder.

1, 2, 13, 17, 26, 34, 221, 442

Greatest Common Divisior

We found the divisors of 279, 267, 490, 442 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 279, 267, 490, 442 is 1.

Therefore, GCD of numbers 279, 267, 490, 442 is 1

Given Input Data is 279, 267, 490, 442

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 267 is 3 x 89

Prime Factorization of 490 is 2 x 5 x 7 x 7

Prime Factorization of 442 is 2 x 13 x 17

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, 267) = 24831

GCD(279, 267) = ( 279 x 267 ) / 24831

GCD(279, 267) = 74493 / 24831

GCD(279, 267) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 490

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

LCM(3, 490) = 1470

GCD(3, 490) = ( 3 x 490 ) / 1470

GCD(3, 490) = 1470 / 1470

GCD(3, 490) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 442

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

LCM(1, 442) = 442

GCD(1, 442) = ( 1 x 442 ) / 442

GCD(1, 442) = 442 / 442

GCD(1, 442) = 1

GCD of 279, 267, 490, 442 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 114, 721, 662, 253
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• GCD of 880, 876, 472, 287
• GCD of 371, 153, 640, 246

1. What is the GCD of 279, 267, 490, 442?

GCD of 279, 267, 490, 442 is 1

2. Where do I get the detailed procedure to find GCD of 279, 267, 490, 442?

You can find a detailed procedure to find GCD of 279, 267, 490, 442 on our page.

3. How to find GCD of 279, 267, 490, 442 on a calculator?

You can find the GCD of 279, 267, 490, 442 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.