GCD of 609, 879, 96, 782 Calculator

Given Input numbers are 609, 879, 96, 782

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

Divisors of 609

List of positive integer divisors of 609 that divides 609 without a remainder.

1, 3, 7, 21, 29, 87, 203, 609

Divisors of 879

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

1, 3, 293, 879

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Greatest Common Divisior

We found the divisors of 609, 879, 96, 782 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 609, 879, 96, 782 is 1.

Therefore, GCD of numbers 609, 879, 96, 782 is 1

Given Input Data is 609, 879, 96, 782

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

Prime Factorization of 609 is 3 x 7 x 29

Prime Factorization of 879 is 3 x 293

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 782 is 2 x 17 x 23

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(609, 879) = 178437

GCD(609, 879) = ( 609 x 879 ) / 178437

GCD(609, 879) = 535311 / 178437

GCD(609, 879) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 96

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

LCM(3, 96) = 96

GCD(3, 96) = ( 3 x 96 ) / 96

GCD(3, 96) = 288 / 96

GCD(3, 96) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 782

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

LCM(3, 782) = 2346

GCD(3, 782) = ( 3 x 782 ) / 2346

GCD(3, 782) = 2346 / 2346

GCD(3, 782) = 1

GCD of 609, 879, 96, 782 is 1

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1. What is the GCD of 609, 879, 96, 782?

GCD of 609, 879, 96, 782 is 1

2. Where do I get the detailed procedure to find GCD of 609, 879, 96, 782?

You can find a detailed procedure to find GCD of 609, 879, 96, 782 on our page.

3. How to find GCD of 609, 879, 96, 782 on a calculator?

You can find the GCD of 609, 879, 96, 782 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.