GCD of 279, 694, 264, 446 Calculator

Given Input numbers are 279, 694, 264, 446

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 694

List of positive integer divisors of 694 that divides 694 without a remainder.

1, 2, 347, 694

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 446

List of positive integer divisors of 446 that divides 446 without a remainder.

1, 2, 223, 446

Greatest Common Divisior

We found the divisors of 279, 694, 264, 446 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 279, 694, 264, 446 is 1.

Therefore, GCD of numbers 279, 694, 264, 446 is 1

Given Input Data is 279, 694, 264, 446

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 694 is 2 x 347

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

Prime Factorization of 446 is 2 x 223

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, 694) = 193626

GCD(279, 694) = ( 279 x 694 ) / 193626

GCD(279, 694) = 193626 / 193626

GCD(279, 694) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 264

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

LCM(1, 264) = 264

GCD(1, 264) = ( 1 x 264 ) / 264

GCD(1, 264) = 264 / 264

GCD(1, 264) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 446

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

LCM(1, 446) = 446

GCD(1, 446) = ( 1 x 446 ) / 446

GCD(1, 446) = 446 / 446

GCD(1, 446) = 1

GCD of 279, 694, 264, 446 is 1

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1. What is the GCD of 279, 694, 264, 446?

GCD of 279, 694, 264, 446 is 1

2. Where do I get the detailed procedure to find GCD of 279, 694, 264, 446?

You can find a detailed procedure to find GCD of 279, 694, 264, 446 on our page.

3. How to find GCD of 279, 694, 264, 446 on a calculator?

You can find the GCD of 279, 694, 264, 446 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.