GCD of 879, 924, 509, 656 Calculator

Given Input numbers are 879, 924, 509, 656

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 879

List of positive integer divisors of 879 that divides 879 without a remainder.

1, 3, 293, 879

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 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

Divisors of 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Greatest Common Divisior

We found the divisors of 879, 924, 509, 656 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 879, 924, 509, 656 is 1.

Therefore, GCD of numbers 879, 924, 509, 656 is 1

Given Input Data is 879, 924, 509, 656

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 879 is 3 x 293

Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11

Prime Factorization of 509 is 509

Prime Factorization of 656 is 2 x 2 x 2 x 2 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(879, 924) = 270732

GCD(879, 924) = ( 879 x 924 ) / 270732

GCD(879, 924) = 812196 / 270732

GCD(879, 924) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 509

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

LCM(3, 509) = 1527

GCD(3, 509) = ( 3 x 509 ) / 1527

GCD(3, 509) = 1527 / 1527

GCD(3, 509) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 656

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

LCM(1, 656) = 656

GCD(1, 656) = ( 1 x 656 ) / 656

GCD(1, 656) = 656 / 656

GCD(1, 656) = 1

GCD of 879, 924, 509, 656 is 1

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1. What is the GCD of 879, 924, 509, 656?

GCD of 879, 924, 509, 656 is 1

2. Where do I get the detailed procedure to find GCD of 879, 924, 509, 656?

You can find a detailed procedure to find GCD of 879, 924, 509, 656 on our page.

3. How to find GCD of 879, 924, 509, 656 on a calculator?

You can find the GCD of 879, 924, 509, 656 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.