GCD of 279, 924, 657, 287 Calculator

Given Input numbers are 279, 924, 657, 287

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 924

List of positive integer divisors of 924 that divides 924 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Divisors of 287

List of positive integer divisors of 287 that divides 287 without a remainder.

1, 7, 41, 287

Greatest Common Divisior

We found the divisors of 279, 924, 657, 287 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 279, 924, 657, 287 is 1.

Therefore, GCD of numbers 279, 924, 657, 287 is 1

Given Input Data is 279, 924, 657, 287

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 924 is 2 x 2 x 3 x 7 x 11

Prime Factorization of 657 is 3 x 3 x 73

Prime Factorization of 287 is 7 x 41

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, 924) = 85932

GCD(279, 924) = ( 279 x 924 ) / 85932

GCD(279, 924) = 257796 / 85932

GCD(279, 924) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 657

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

LCM(3, 657) = 657

GCD(3, 657) = ( 3 x 657 ) / 657

GCD(3, 657) = 1971 / 657

GCD(3, 657) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 287

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

LCM(3, 287) = 861

GCD(3, 287) = ( 3 x 287 ) / 861

GCD(3, 287) = 861 / 861

GCD(3, 287) = 1

GCD of 279, 924, 657, 287 is 1

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1. What is the GCD of 279, 924, 657, 287?

GCD of 279, 924, 657, 287 is 1

2. Where do I get the detailed procedure to find GCD of 279, 924, 657, 287?

You can find a detailed procedure to find GCD of 279, 924, 657, 287 on our page.

3. How to find GCD of 279, 924, 657, 287 on a calculator?

You can find the GCD of 279, 924, 657, 287 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.